How do you find the equation of the line tangent

yemahlutor9l

yemahlutor9l

Answered question

2022-02-10

How do you find the equation of the line tangent to the graph of f(x)=x(x1) at the value x=4?

Answer & Explanation

demiegiq1p

demiegiq1p

Beginner2022-02-11Added 11 answers

Explanation:
to find the equation of the tangent yy1=m(xx1)
we require m and (x1,y1)
m=f'(4) and y1=f(4)
f(4)=4(21)=4(x1,y1)=(4,4)
f(x)=x(x121)=x32x
f(x)=32x121
f(4)=3221=2
y-4=2(x-4)
y=2x4 is equation of tangent

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?