What is the equation of the tangent line

Willie Kelley

Willie Kelley

Answered question

2022-04-10

What is the equation of the tangent line of f(x)=cos3x2 at x=0?

Answer & Explanation

gsmckibbenx7ga

gsmckibbenx7ga

Beginner2022-04-11Added 17 answers

Explanation:
Let
y=cos3x2
Slope of the tangent is
dydx=3cos2x2(sinx2)(2x)
=6xcos2x2sinx2
at x=0
m=6×0×cos202sin02
m=0
point of tangency is
y=cos3x2=cos302=cos30=(cos0)2=12=1
Hence equation of tangent is y=1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?