Question

Please Help??

identify the open interval on which the function is increasing or decreasing.

f(x)=x^4-2x^2

Answer 1

This problem could be solved in at least two different ways: (1) by inspection of the graph (which assumes that you know how to recognize segments of the graph where the function is increasing and segments where the function is decreasing).
(2) Using calculus: find the first derivative of f(x) and set the result = to zero.
Solve the resulting equation. The resulting solutions are called "critical values".
Are you familiar with the "First Derivative Test"? That's what we're applying here.

Answer 2

My teacher mentioned it but she didn't explain it and I don't remember how to do it.

Answer 3

Is that the easiest way to solve?

Answer 4

@mathmale

Answer 5

anyone?

Answer 6

@amistre64