Question: Given the function f(x) = x4 , and suppose g(x) is some other function of x. (a) Then the function F(x) = (g(x))4 is the

Given the function f(x) = x4 , and suppose g(x) is

Given the function f(x) = x4 , and suppose g(x) is some other function of x. (a) Then the function F(x) = (g(x))4 is the same thing as ... Of' (g ( x ) ) Of' ( x ) O g of ( x) Of' (g ( x) ) . g'( x ) O fog (x ) (b) By either the extended power or the chain rule, we have F '(x) = 0 4x3 . g'(x) O g( 4x 3 ) O xA g'(x) + 4x3g(x) 0 4 (9(x) ) 3 . g' (x) 0 4 (9(x) ) 3 (c) It follows that F '(2) = O g(32) 4(9(2) ) 3 . g'(2) 0 4 . (9(2) ) 3 O 32(g ' (x) ) 0 4 . 9(8) . g'(2)

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!

with detailed solution 1. (28 points) CURVE SKETCHING. Given the function f (x) = x4 - 2x2 - 4 1. (2 points) Find f (x) and f"(x). 2. (16 points) Determine the following properties of the graph of f....

I'm not sure I'm doing this right.. can you please help me understand 1. Given the function f (x) = x-1 x+4 answer the following questions. Show work. a.) Determine the y-intercept. f ( x ) = X- 1...

please i need the answer for my worksheet AutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share...

MATLAB PROGRAMMING 3.6, 3.7, 3.8 Create a polar plot of the function r (theta) = sin (2 theta) cos 6 for 0 lessthanorequalto theta lessthanorequalto 2 pi Plot the function f (x) = x^4 - 3x^3 + 10x^2...

8. Given the function f (x) = (e*)(In x)(x), find f'(x) and simplify. (6pts) 9. Use logarithmic differentiation to find - dy if y = x * (8pts) dx 10. Find the equation of the tangent line to the...

Four, five and six only thankyouuuu Activity 1. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 2. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 3....

Seven and eight only thankyouuuu Activity 1. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 2. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 3....

can you please help me solve these questions! 48% X . . . 9:05 PM Tue Nov 2 Untitled (Draft) ~ Q n Untitled (Draft) X 1.1+Introduction+to+Limits X Lecture+Notes+-+Chem+4311-+Fall+2021 12. Find f'(0)...

Hello tutor, need assistances with these questions. Thank u Given the function f (x) = x+3 -4 , answer the following questions. If there are any extra blanks or if no answer exists at all, enter...

Sketch the graph of the function f (x) = x4. Explain how the graph of each function g differs (if it does) from the graph of f. Determine whether g is even, odd, or neither. (a) g(x) = f (x) + 2 (b)...

What are two basic services that investment banks provide in the economy?

Block A of mass 1kg is placed on the rough surface of Block B of mass 3kg. Block B is placed on smooth horizontal surface. Blocks are given the velocities as shown in the figure. Net work done by...

Permian Partners ( PP ) produces from aging oil fields in west Texas. Production is currently 1 . 9 9 million barrels per year, but is declining at 5 % per year for the foreseeable future. Costs of...

1. Part of this weeks reading focused the environment aspect of corporate social responsibility (CSR). Would organizations really be paying attention to CSR if customers, and federal and state...

An increasing inventory turnover ratio a. indicates a longer time span between the ordering and receiving of inventory. b. indicates a shorter time span between the ordering and receiving of...

A New York bridal dress designer who makes high-end custom wedding dresses most likely uses which inventory costing method? a. FIFO c. Weighted average b. LIFO d. Specific identification (Appendix)

The inventory costing method selected by a company will affect a. the balance sheet. c. the statement of retained earnings. b. the income statement. d. all of the above. (Appendix)