Question

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Calculus Help!!!
At what value(s) of x does f(x) = x^4 – 8x^2 have a critical point where the graph changes from decreasing to increasing?

Answer 1

@TrojanPoem

Answer 2

Find the derivative of this function

f'(x) = 4x^3 - 16x

Let f'(x) = 0

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

x = + or - 2 or x = 0

Decreasing ]-inf , -2[ + ]0, 2[

Increasing ]-2, 0 [ + ]2, inf[

Answer 3

Critical points : +2 , -2 , 0

Answer 4

So 0 and 2 only would be the answer?

Answer 5

yEAH