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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 an equation of the tangent line to the curve at the given point.

y = x + tan x, (π, π)

To determine

To find: An equation of the tangent line to the curve y at the point (π,π).

Explanation

Given:

The function is y=x+tanx at the point (π,π).

Formula used:

Sum Rule:

If f(x) and g(x) are both differentiable function, then the sum rule is,

ddx[f(x)+g(x)]=ddx[f(x)]+ddx[g(x)] (1)

The slope of the tangent line y is, dydx=m at x1 (2)

The equation of the tangent line is, (yy1)=m(xx1) at the point (x1,y1) (3)

Calculation:

Find derivative of the function y=x+tanx using Sum Rule as shown in equation (1)

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