# The expression for the slope of the tangent line to the curve y = f ( x ) at the point ( a , f ( a ) ) . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2, Problem 9RCC
To determine

## To find:The expression for the slope of the tangent line to the curve y=f(x) at the point (a,f(a)) .

Expert Solution

The expression for the slope of the tangent line to the curve y=f(x) at the point (a,f(a)) is m=limxaf(x)f(a)xa .

### Explanation of Solution

Given information:

The given curve is y=f(x) at the point (a,f(a)) .

Calculation:

Calculate the expression for the slope of the tangent line to the curve y=f(x) .

m=limxaf(x)f(a)xa

Therefore, the expression for the slope of the tangent line to the curve y=f(x) at the point (a,f(a)) is m=limxaf(x)f(a)xa .

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