Question: Consider the following function: f ( x ) = ( x 4 + 5 ) ( e x + 1 ) x 2 + 1

Consider the following function:

f(x)=(x4+5)(ex+1)x2+1

A) Why is it possible to use the method of logarithmic differentiation to find the derivative of y = f(x)?

Why is this function a good candidate for logarithmic differentiation? Justify both answers

B) Find the derivative of y = f(x) using logarithmic differentiation. The answer should be in terms of x.

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:

46% [4]. Fri ry Bookmarks Window Help Iculus For Business Fronomics and the Social and Life Sciences hy.Laurence D Hoffmann. Gerald | Bradlav iz-lib oral.pdf (name 932 of 1071)_Flitad childsmath.ca...

Q:

Enter your answer symbolically, Problem #6: as in these examples Just Save Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Attempt #6 Attempt #7...

Q:

calculus : please edit answers to image to make it as least confusing as possible or copy the format 2. f(x) = Vx3 - 12x The following is a Free Response Practice to go with Question 2 on the...

Q:

II. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC12 2.1.029. MY NOTES ASK YOUR TEACHER PR Consider the following function. f ( x ) = x2 + 4 , (1, 5 ) (a) Find an equation of the tangent line to the...

Q:

solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks. 1. [-/1 Points] DETAILS SCALCET9 14.7.005.EP. MY NOTES ASK YOUR TEACHER...

Q:

Part a & d only: Consider the following function. f ( x ) = - x - 2 3x + 5 (a) Find the inverse function of f. f - 1 ( x ) = (b) Graph both f and f on the same set of coordinate axes. y 15 -1 10 10 5...

Q:

please let me know the answers i do not need ant explanation. i need to fill in the blank Consider the following function. f ( x ) = X2 - 36 Complete the following table. (Round your answers to two...

Q:

2. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 4.R.015. MY NOTES Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 14 -...

Q:

4.9 Homework - Antiderivatives (Homework) 7. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.9.029.EP. Consider the following function. F" (x) = 42x Find f'(x). (Use C for the constant of the first...

Q:

Question 1: Consider the following function f ( x ) = sqrt(125-x^3), 0 x (a) Construct a half-range expansion of f , assuming that f is extended to the interval [?5, 0] as an odd function. The...

Q:

Roger Holloway cannot understand why cash realizable value does not decrease when an uncollectible account is written off under the allowance method. Clarify this point for Roger Holloway.

Q:

In statistics the term "population" has a slightly different meaning from the one given to it in ordinary speech. It need not refer only to people or to animate creatures - the population of Zambia,...

Q:

John and sally have recently been expirenecing serious martial problems. During the last few months, John has been selling their recreational assets including an exoensive boat, snowmobiles, and four...

Q:

Stock x has systematic risk of betax = 1 and the analyst forecasts its return to be 1 2 % . Stock Y has betay = 1 . 5 and the analyst forecasts its return to be 1 3 % . The market portfolio's...