# What is the x-coordinate of the point of inflection on the graph of y= 1/10x^5?

Aug 11, 2015

At x = 0 there is a point of inflection.

#### Explanation:

Find the second derivative.
$\frac{\mathrm{dy}}{\mathrm{dx}}$ = $\left(\frac{5}{10}\right) {x}^{4}$
$\frac{{d}^{2} y}{\mathrm{dx}} ^ 2$ = $\left(\frac{20}{10}\right) {x}^{3}$= $2 {x}^{3}$

Make 2nd derivative equal to 0. Solve it for x. You are doing this to find for what value of x the function has point of inflection.
$2 {x}^{3}$=0
x = 0

graph{(1/10)x^5 [-11.25, 11.25, -5.63, 5.62]}