A curve has equation y = x 2 ln 3x. Find the value of dy/dx and d
Question:
A curve has equation y = x2 ln 3x.
Find the value of dy/dx and d2y/dx2 at the point where x = 2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (16 reviews)
To find the first derivative we use the product rul...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
-
A curve has equation y = x sin 2x for 0 x radians. a. Find the equation of the normal to the curve at the point P(/4, /4). b. The normal at P intersects the x-axis at Q and the y-axis at R. Find...
-
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
-
Suppose that in a particular area the consumption of water varies tremendously throughout the year, with average household summer use exceeding winter use by a great deal. What effect would this have...
-
Magnesium burns in air to produce magnesium oxide, MgO, and magnesium nitride, Mg3N2. Magnesium nitride reacts with water to give ammonia. Mg3N2(s) + 6H2O(l ) 3Mg(OH)2(s) + 2NH3(g) What volume of...
-
Define vibrations. How they are caused?
-
Use the information for Hamlet House in Exercise E9-15 and assume a tax rate for the company of 35 percent. a. If Hamlet House wants to earn an after-tax profit of \(\$ 182,000\), how many garden...
-
Consider the unadjusted trial balance of Spateness, Inc., at December 31, 2016, and the related month-end adjustment data. Adjustment data at December 31, 2016: a. Accrued service revenue at December...
-
TheBooleanexpressionF = ABCD + A BD + ABC Dcanbereducedto _ _ _ _ _ literals an explain the answer a ) One b ) Two c ) Three d ) Cannot be reduc
-
Calculate the moment of inertia of the solid steel semicylinder about the x-x axis and about the parallel x 0 -x 0 axis. (See Table D/1 for the density of steel.) 100 mm Ox 60 mm 60 mm
-
Find the equation of the tangent to a. y = 5/e 2x + 3 at x = 0 b. c. y = x 2 (1 + e x ) at x = 1. y = Ve2* +1 at x = In 5 %3D
-
Differentiate with respect to x. a. x sin x b. 2 sin 2x cos 3x c. x 2 tan x d. x tan 3 (x/2) e. 5/cos 3x f. x/cos x g. tan x/x h. sin x/2 + cos x i. sin x/3x 1 j. 1/sin 3 2x k. 3x/sin 2x l. sin x +...
-
In Problem assume that no new purchases are made with the credit card. The annual interest rate on a credit card is 24.99%. If a payment of $100.00 is made each month, how long will it take to pay...
-
The widening shortage of accountants has begun showing up in financial statements. U.S.-listed companies such as car-parts provider Advance Auto Parts, electric-air-taxi firm Joby Aviation and German...
-
1. Evaluate the following limits. (You are not allowed to use L'Hopital's rule). x- -2 (a) lim 23x+10-4 (b) lim 0+x sin 3x - sin 3x cos 2x 5x2
-
1. Solve for the unknown using a method of your choice. 3 x+5 + 3 x = 177876 2. How do the intensities of a magnitude 6.0 earthquake and a magnitude 2.9 earthquake compare?
-
Multiply. (w-5x-2)(3w+6x) Simplify your answer.
-
What are the solutions of: 2x - 9x + 10?
-
What type of training does a registered financial planner have?
-
Estimate a range for the optimal objective value for the following LPs: (a) Minimize z = 5x1 + 2x2 Subject to X1 - x2 3 2x1 + 3x2 5 X1, x2 0 (b) Maximize z = x1 + 5x2 + 3x3 Subject to X1 + 2x2 +...
-
Pedro Bourbone is the founder and owner of a highly successful small business and, over the past several years, has accumulated a significant amount of personal wealth. His portfolio of stocks and...
-
Rick Cabela, a high income client, has contacted you for advice regarding two new proposed business ventures and other tax planning ideas. Rick already operates a highly successful consulting...
-
Read the following two cases and explain why the Supreme Court reached different conclusions for cases involving similar facts and issues: CIR v. Court Holding Co., 33 AFTR 593, 45-1 USTC 9215 (USSC,...
-
cause effect diagram for Missing customer demand due to throughput loss
-
As they relate to DOEs, ____________ are the values of a factor that we are interested in testing. Question 4 options: a) replicates b) factors c) levels d) noise factors
-
If sales are $1,000,000 and contribution margin is $250,000, the contribution margin ratio is _____%
Study smarter with the SolutionInn App