Question

what is the derivative of 2x^2(1-x^2)?

Answer 1

\[2x^2(1-x^2)=2x^2-2x^4\]

Answer 2

You can use the product rule here, but I think it's easier to distribute, and use the rule for polynomial terms .

Answer 3

As Diyadiya did above....

Answer 4

\[\frac{d}{dx}2x^2-\frac{d}{dx}2x^4\]

Answer 5

gotcha! than you!

Answer 6

on the same problem. how do i find relative extrema using 2nd derivative?

Answer 7

Extrema can be identified by the first derivative equal to zero. If the second derivative is positive at this value of x, the extrema is a minimum; if negative, a maximum.