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# Intervals Where Curve is Concave Down?

Where is the graph of 1/4x^4 - 2x^2 concave down?

keywords: concave-down, concave-up, up, second-derivatives, second, derivatives

#### Solution Preview

Hi, here is the solution

y= (1/4) x^4 -2x^2

dy/dx = (1/4)4x^3 -4x

dy/dx = x^3 -4x

Make dy/dx =0 , to find the critical points,

(X^3-4x)=0

x(x^2-4) =0

x=0 (or) x^2-4 =0

x=0 and x= ...

#### Solution Summary

Intervals where a curve is concave down are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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