   Chapter 2.R, Problem 91E

Chapter
Section
Textbook Problem

# Find f " ( x ) if it is known that d d x [ f ( 2 x ) ]

To determine

To Find:

f'x if it is known that

ddxf2x=x2

Explanation

1. Concept:

Solve by using differentiation rules

2. Formula:

(i) Chain rule:

dydx= dydududx

3. Given:

ddxf2x= x2

4. Calculation:

Find derivative of f2x

Let, u = 2x

Taking derivative of u with respect to x,

dudx=2

Then given equation becomes fu,

Now, differentiating implicitly fu with respect to x

By using Chain Rule

ddxf2x=f'ududx

Substitutethe value of

u and  dudx

ddxf2

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