Chapter 4.8, Problem 52E

### Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Chapter
Section

### Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

# EXPLORING CONCEPTSThink About It For what value(s) of a would you use y = x to approximate f ( x ) = sin x near x = a ? Using Differentials In Exercises 53 and 54, give a short explanation of why the approximation is valid.

To determine

To calculate: The value of a when y=x will be used as an approximation of the function f(x)=sinx near the point a.

Explanation

Given:

The function f(x)=sinx and the approximation y=x.

Formula used:

For the function f and a point (c,f(c)), the tangent line approximation is given by:

T(x)=f(c)+f'(c)(xâˆ’c)

Calculation:

Differentiate the provided function and find its value at a

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