Find an equation of the tangent line to the curve y=3x+6 cos(x) at the point ((pi)/(3), pi + 3)

johnathanpbICa

johnathanpbICa

Answered question

2022-11-30

Find an equation of the tangent line to the curve y = 3 x + 6 cos ( x ) at the point ( π 3 , π + 3 )

Answer & Explanation

Cooper Church

Cooper Church

Beginner2022-12-01Added 9 answers

y = 3 x + 6 cos x
d y d x = 3 + 6 ( sin x )
= 3 6 sin x
slope m = d y d x = 3 6 sin x
at ( π 3 , π + 3 ) , m = 3 6 sin π 3
= 3 6 ( 3 2 )
= 3 3 3
The equation of tangent line is
y ( π + 3 ) = ( 3 3 3 ) ( x π 3 )
y π 3 = ( 3 3 3 ) x π 3 ( 3 3 3 )
y = ( 3 3 3 ) x 3 π 3 + 3 3 3 + π + 3
y = ( 3 3 3 ) x + 3 + 3

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?