New Semester
Started
Get
50% OFF
Study Help!
--h --m --s
Claim Now
Question Answers
Textbooks
Find textbooks, questions and answers
Oops, something went wrong!
Change your search query and then try again
S
Books
FREE
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Tutors
Online Tutors
Find a Tutor
Hire a Tutor
Become a Tutor
AI Tutor
AI Study Planner
NEW
Sell Books
Search
Search
Sign In
Register
study help
mathematics
calculus with applications
Calculus With Applications 12th Edition Margaret L. Lial - Solutions
Find the derivative of each function. y 3 - 1 2 ln x
In Exercises, find the derivative of each function. f(x) = x³ + 5 X
In Exercises, use the quotient rule to find the derivative of each function. p(t) = Vt t - 1
Write each function as the composition of two functions. (There may be more than one way to do this.)y = ex2
Use the rules for derivatives to find the derivative of each function defined as follows. r(t = 5t² - 7t (3t+1)³
In Exercises, use the quotient rule to find the derivative of each function. r(t) = Vt 2t + 3
Use the rules for derivatives to find the derivative of each function defined as follows.y = 3x(2x + 1)3
Write each function as the composition of two functions. (There may be more than one way to do this.)y = ln(4x + 7)
In Exercises, find the derivative of each function. g(x) = x³ - 4x Vx
Find the derivative of each function. y = Vinx - 3|
Find the derivative of each function.y = (ln |x + 1|)4
In Exercises, use the quotient rule to find the derivative of each function. y = 9 + XS Vx
Use the rules for derivatives to find the derivative of each function defined as follows.y = 4x2(3x - 2)5
Write each function as the composition of two functions. (There may be more than one way to do this.)y = ln(1 + x3)
In Exercises, find the derivative of each function.y = (8x4 - 5x2 + 1)4
In Exercises, find the derivative of each function.g(x) = (8x2 - 4x)2
Find the derivative of each function.y = ln |ln x|
In Exercises, find the derivative of each function.k(x) = -2(12x2 + 5)-6
Which of the following describes the derivative function ƒ′(x) of a quadratic function ƒ(x)?(a) Quadratic (b) Linear(c) Constant (d) Cubic (third degree)
In Exercises, use the quotient rule to find the derivative of each function. g(y) = || 1.4 + 1 2.5 + 2
Find the derivative of each function.y = ex2 ln x
Use the rules for derivatives to find the derivative of each function defined as follows.g(t) = t3(t4 + 5)7/2
In Exercises, use the quotient rule to find the derivative of each function. f(x) (3x² + 1)(2x - 1) 5x+4
In Exercises, find the derivative of each function.ƒ(x) = -7(3x4 + 2)-4
Which of the following describes the derivative function ƒ′(x) of a cubic (third degree) function ƒ(x)?(a) Quadratic (b) Linear(c) Constant (d) Cubic
Find the derivative of each function.y = e2x-1 ln(2x - 1)
Use the rules for derivatives to find the derivative of each function defined as follows.y = -6e2x
In Exercises, find the derivative of each function.s(t) = 45(3t3 - 8)3/2
Explain the relationship between the slope and the derivative of ƒ(x) at x = a.
Find the derivative of each function. y e.t In x
In Exercises, use the quotient rule to find the derivative of each function. g(x) (2x² + 3)(5x + 2) 6x - 7
Which of the following do not equal(a)(b)(c)(d) 12x3 + 12x-3 d dx -(4x² - 6x-²)?
Find the derivative of each function. p(y) = In y ey
Use the rules for derivatives to find the derivative of each function defined as follows.y = 8e0.5x
Find the derivative of each function. s(t) = √e¹ + In 2t
In Exercises, find the derivative of each function.s(t) = 12(2t4 + 5)3/2
Find the error in the following work. 2x D. (²x + 5) = Dx 2 - (2x + 5)(2x) - (x² - 1)2 (x² - 1)² 4x² + 10x 2x² + 2 (x² - 1)² 2x² + 10x + 2 (x² - 1)²
Use the rules for derivatives to find the derivative of each function defined as follows.y = e-2x3
If g(3) = 4, g′(3) = 5, ƒ(3) = 9, and ƒ′(3) = 8, find h′(3) when h(x) = ƒ(x)g(x).
In Exercises, find the derivative of each function.g(t) = -3√7t3 - 1
Find the derivative of each function.g(z) = (e2z + ln z)3
Use the rules for derivatives to find the derivative of each function defined as follows.y = -4ex2
If g(3) = 4, g′(3) = 5, ƒ(3) = 9, and ƒ′(3) = 8, find h′(3) when h(x) = ƒ(x)/g(x).
In Exercises, find the derivative of each function.ƒ(t) = 8√4t2 + 7
Find the error in the following work. Dx - x³ 4 x³(2x) - (x² - 4)(3x²) = 2x4 - 3x² + 12x² = −x² + 12x² =
Find the derivative of each function.y = log(6x)
Use the rules for derivatives to find the derivative of each function defined as follows.y = 5xe2x
In Exercises, find the derivative of each function.m(t) = -6t(5t4 - 1)4
Find the derivative of each function.y = log(4x - 3)
Use the rules for derivatives to find the derivative of each function defined as follows.y = -7x2e-3x
In Exercises, find the derivative of each function.r(t) = 4t(2t5 + 3)4
Find the derivative of each function.y = log |1 - x|
Use the rules for derivatives to find the derivative of each function defined as follows.y = ln(2 + x2)
Use the rules for derivatives to find the derivative of each function defined as follows. y = In |3x| x - 3
In Exercises, find the equation of the tangent line to the graph of the given function at the given point.ƒ(x) = (2x2 - 4)(x + 2) at (2, 16)
Use the rules for derivatives to find the derivative of each function defined as follows. y In 2x 1 x + 3
In Exercises, find the derivative of each function.y = (x3 + 2)(x2 - 1)4
In Exercises, find the slope and the equation of the tangent line to the graph of the given function at the given value of x.y = -3x5 - 8x3 + 4x2; x = 1
Find the derivative of each function.y = log5√5x + 2
In Exercises, find the equation of the tangent line to the graph of the given function at the given point.ƒ(x) = √x/(4x - 2) at (1, 0.5)
In Exercises, find the derivative of each function.q(y) = 4y2(y2 + 1)5/4
In Exercises, find the slope and the equation of the tangent line to the graph of the given function at the given value of x.y = -2x1/2 + x3/2; x = 9
Find the derivative of each function.y = log7√4x - 3
In Exercises, find the equation of the tangent line to the graph of the given function at the given point.ƒ(x) = (x2 - 3)/(2x + 1) at (-1, 2)
In Exercises, find the derivative of each function.p(z) = z(6z + 1)4/3
In Exercises, find the derivative of each function. y || -5 (2x³ + 1)²
Use the rules for derivatives to find the derivative of each function defined as follows. y || xex In(x² - 1)
Use the rules for derivatives to find the derivative of each function defined as follows. y || (x² + 1)e²x In x
In Exercises, find the derivative of each function. y || 1 (3x² - 4)5
In Exercises, find the slope and the equation of the tangent line to the graph of the given function at the given value of x.y = -x-3 + x-2; x = 2
Find the derivative of each function.y = log3 (x2 + 2x)3/2
In Exercises, find the derivative of each function. r(t) = = (5t - 6)4 31² + 4
Find all points on the graph of ƒ(x) = 9x2 - 8x + 4 where the slope of the tangent line is 0.
Find the derivative of each function.y = log2 (2x2 - x)5/2
What is the result of applying the product rule to the function ƒ(x) = kg(x), where k is a constant? Compare with the rule for differentiating a constant times a function from the previous section.
Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5.
Find the derivative of each function.w = log8 (2p - 1)
Use the rules for derivatives to find the derivative of each function defined as follows.s = (t2 + et)2
Following the steps used to prove the product rule for derivatives, prove the quotient rule for derivatives.
In Exercises, find the derivative of each function. p(t) = (2t + 3)³ 41² 1
In Exercises, for each function find all values of x where the tangent line is horizontal.ƒ(x) = 2x3 + 9x2 - 60x + 4
In Exercises, find the derivative of each function. y || 3x² X (2x - 1)³
Find the derivative of each function.z = 10y log y
Use the rules for derivatives to find the derivative of each function defined as follows.q = (e2p+1 - 2)4
Use the fact that ƒ(x) = u(x)/v(x) can be rewritten as ƒ(x)v(x) = u(x) and the product rule for derivatives to verify the quotient rule for derivatives.
In Exercises, for each function find all values of x where the tangent line is horizontal.ƒ(x) = x3 + 15x2 + 63x - 10
Find the derivative of each function.ƒ(x) = e√x ln1(√x + 5)
Use the rules for derivatives to find the derivative of each function defined as follows.y = 3 · 10-x2
For each function, find the value(s) of x in which f′(x) = 0, to 3 decimal places.ƒ(x) = (x2 - 2)(x2 - √2)
In Exercises, for each function find all values of x where the tangent line is horizontal.ƒ(x) = x3 - 4x2 - 7x + 8
Find the derivative of each function.ƒ(x) = ln(xe√x + 2)
Use the rules for derivatives to find the derivative of each function defined as follows.y = 10 · 2√x
In Exercises, find the derivative of each function. y = x² + 4x (3x³ + 2)²
Find the derivative of each function. f(t) = In(t² + 1) + t In(t² + 1) + 1
For each function, find the value(s) of x in which f′(x) = 0, to 3 decimal places. f(x) = x - 2 X .2 x² + 4
In Exercises, for each function find all values of x where the tangent line is horizontal.ƒ(x) = x3 - 5x2 + 6x + 3
Find the derivative of each function. f(t) = 213/2 In (21³/2 + 1)
Gottfried Leibniz, one of the inventors of calculus, initially thought that the derivative of ƒ(x)g(x) was ƒ′(x)g′(x), based on the example ƒ(x) = x2 + bx and g(x) = cx + d. Besides neglecting to work out the details, which would have shown his error, he made an erroneous conclusion based on
Use the rules for derivatives to find the derivative of each function defined as follows.h(z) = log(1 + ez)
There are special cases in which the derivative of ƒ(x)g(x) does equal ƒ′(x)g′(x). Calculate both [ƒ(x)g(x)] and ƒ′(x)g′(x) for ƒ(x) = a/(1 - x) and g(x) = bx, and verify that the two expressions are equal.
Showing 7200 - 7300
of 8662
First
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
Last
Step by Step Answers
Get 50% OFF
Claim Now
