Question

if h(x)=3x^3-9x, at which point on the interval [0, sqrt3], if any, is the tangent to the curve parallel to the secant line from x=0 to x=sqrt3?

Answer 1

Woo-hoo! The Mean Value Theorem!!

Calculate the slope with these two points... \((0,h(0))\), and \((\sqrt{3},h(\sqrt{3}))\). Of course, you'll have to evaluate the function in those two places.

Answer 2

what do you mean evaluate the function in these two places?

Answer 3

oh i know now