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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Find the linearization L(x) of the function at n.

4. f(x) = 2x, a = 0

To determine

To find: The linearization L(x) of the function at a.

Explanation

Given:

The function f(x)=2x and a=0.

Proof:

The linearization of f(x) at a is L(x)=f(a)+f(a)(xa) (1)

Substitute a=0 in f(x)=2x,

f(0)=20=1

The derivative of the function f(x)=2x is computed as follows,

f(x)=ddx(2x)=2xlog2     [Qddx(bx)=b

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