Find all values of x such that the tangent line to f(x) = (x^2 - 9)^2 is horizontal.

CheemnCatelvew

CheemnCatelvew

Answered question

2021-09-01

Find all values of x such that the tangent line to f(x)=(x29)2 is horizontal.

Answer & Explanation

tabuordy

tabuordy

Skilled2021-09-02Added 90 answers

f(x)=(x29)2
y=f(x)
dydx=0.(f(x)=0)
dydx=ddx(x29)2=2(x29)ddx(x29)=2(x29)(2x)=4x(x29)
dydx=0, then
4x(x29)=0
x29=0
x2=9
x=±3 and
4x=0
x=0
x values: 3.3.0.

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?