# How do you use the first and second derivatives to sketch #y=x^4-2x#?

##### 1 Answer

Mar 30, 2017

minimum

inflection

convex

#### Explanation:

The first derivative is:

Let's study the solution of the inequality

that's

It means that

if

if

then if x=if

The second derivative is:

Let's study the solution of the inequality

that's

It tells the function is convex and if

graph{y=x^4-2x [-2, 3, -2, 5]}