Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,434 questions

17,804 answers

1,438 comments

79,574 users

Find an equation of the tangent line to the curve at the given point. Y=sin(sinx) , (2pi,0)

0 votes

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

y = sin(sin x),  (2π, 0)

 

asked Feb 27, 2014 in CALCULUS by dkinz Apprentice

1 Answer

0 votes

The curve is image, and the point is image.

We can use implicit differentiation to find y '.

The implicit(or total) derivation of image is,

image

image

Substitute the values of (x, y ) = image in the above equation.

image

image

image.

This is the slope (m ) of the tangent line to the implicit curve at image.

To find the tangent line equation, substitute the values of m = 1 and (x, y ) = image in the slope intercept form of an equation.

y = mx + b

image

image.

Substitute m = 1 and image in y = mx + b.

image

image.

The tangent line equation is image.

answered Apr 8, 2014 by lilly Expert

Related questions

...