Answer to Question #103922 in Calculus for Martin

Question

Locate the critical points and identify which critical points are stationary points for the function f(x)=5x4−20x .

Answer 1

f(x)=5x⁴−20x

f'(x) =20x³-20

Equate the derivative to 0

20x³-20=0

20x³=20

X³=1

X=1

The critical point is x=1.

F(1)=5*(1)⁴-20(1)

=-15

The stationary point is (1,-15).