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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

Write an expression for the slope of the tangent line to the curve y = f(x) at the point (a, f(a)).

To determine

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

Explanation

Result used:

Derivative rule:

Let I be an interval, cI, and f:I then

f(c)=limxcf(x)f(c)xc

Calculation:

The curve is y=f(x) then the slope of the curve is dydx

Given point (x0,y0)=(a,f(a)) then y0=f(a)

y0=f(a)

By the derivative rule,

y0=lim

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