How do you find an equation of the tangent line

Misael Sweeney

Misael Sweeney

Answered question

2022-02-10

How do you find an equation of the tangent line to the graph of f(x)=1x1 at the point (2,1)?

Answer & Explanation

powrotnik5ld

powrotnik5ld

Beginner2022-02-11Added 12 answers

Since f(x)=(x1)1,f(x)=(x1)2=1(x1)2 so that
f'(2)=-1
Since f(2)=1, the equation of the tangent line is
y=f'(2)(x-2)+f(2)=-(x-2)+1=-x+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?