Question: Given f ( x ) = 4 x 3 + 1 x , a ) Find the instantaneous rate of change of f ( x

Given f(x)=4x3+1x,
a) Find the instantaneous rate of change of f(x) at x=1.
Instantaneous Rate of Change:
[ Select ]
b) Find the equation of the tangent line at x=1.
Equation of the Tangent Line:
[ Select ]
Given f ( x ) = 4 x 3 + 1 x , a ) Find the

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

A function is given. f( x) = 4 - 3x2; x = 1, x = 1+h (a) Determine the net change between the given values of the variable. (b) Determine the average rate of change between the given values of the...

Q:

Given f x 4 x 3 and g x ln x find the following a f g x b g f x c f f x

Q:

Selected values for continuous functions f(x) and g(x) are given in the table. X 1 2 3 4 F( x ) 4 2 3 1 g(x) 2 3 1 4 lim F(g(x) ) = x-3 g(R(x)) O (A) O (B) 3 O (C) O (D) 4

Q:

VA Section 4.1 - MATH 19, section 6 x Dashboard X + X G G A webassign.net/web/Student/Assignment-Responses/last?dep=29741495#Q2 SG 3. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.1.023. MY NOTES...

Q:

Please show work Given the function . - F ( x ) = x 3 - 3 x+5 calculate the average rate of change over the interval ( - 1, 4) 2) Given h ( x ) = ( 2 x - 5 ) 2 Find two functions f ( x ) and olx )...

Q:

(1 point) Suppose that f(x) = 4x(1 - 4x)5 Find an equation for the tangent line to the graph off at x = 2. Tangent line: y = (1 point) The number x of stereo speakers a retail chain is willing to...

Q:

Hello, I need help with this please, thanks. Which of the following is the average rate of change over the interval [-2, 5] for the function g(x) = log2(x + 3) - 4? (1 point) O O O OA popular video...

Q:

(2 points) The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x = 81vp+ 30 - 400. Find the supply and instantaneous rate of change of...

Q:

Knowledge and Understanding (11 Marks) Provide a complete solution to each question. 1. Find the equation of the tangent line to f (x) = 2x3 - 4x + 7 at (2, 15) using instantaneous rate of change....

Q:

a} The voltage, Fr: in a capacitcr is given by: L1. = a. trust, where IT is the capacitance in Farads [F], the current Ht} is in Amperes {Amps} and i' is time in seconds. i] Find a general expression...

Q:

Find the conditions for stability of the equilibrium of Nt + 1 = rNt(1 - Nt) - hNt for the following values of r. Show that the equilibrium N* is stable when h is set to the value that maximizes the...

Q:

Calculate L4 for the area under the curve g(x)=4x+1 over the interval [08] 18+27 +233 3 16 + 27 +233 (4) 18 + 250 D 4+ 5 +73 some other answer

Q:

A class of stock for which there is no minimum legal capital is called: 5 5 Multiple Choice 0 0 : 5 0 : 5 8 Convertible stock.No - par stock.Callable stock.Noncumulative stock.Discounted stock.

Q:

A testamentary trust established in 2019 for the benefit of children earned $40,000 of income in its 2023 taxation year. The income consists entirely of eligible dividends. The trust distributed half...