Hint: You may use the following derivative rules: ddxsin(x)=cos(x)  ddxcos(x)=−sin(x)  ddxln(x)=1x  Find the equation of the tangent line to the curve y=4sinx at the point (π6,2).The equation of this tangent line is

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Hint: You may use the following derivative rules:

ddxsin(x)=cos(x) 

ddxcos(x)=−sin(x) 

ddxln(x)=1x 

Find the equation of the tangent line to the curve y=4sinx at the point (π6,2).

The equation of this tangent line is

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