Question

Calculus Help PLEASE!!!
find all points where f(x)=2x^3-3x^2-36+9 has a horizontal tangent line. Can someone explain how you solve this.

Answer 1

Horizontal tangents to a curve have zero slope. The slope of the tangent line is given by the derivative at the point to which the line is a tangent.

This means the horizontal tangents occur at points when \(f'(x)=0\). Find the derivative, set equal to 0 and solve for \(x\).

Answer 2

thank you!

Answer 3

yw