What is the extreme f(x)=-x^3-15x^2 ?

The extreme f(x)=-x^3-15x^2 is Minimum(-10,-500),Maximum(0,0)

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extreme f(x)=-x^3-15x^2

extreme points

f (x) = - x^{3} - 15 x^{2}

Minimum (- 10, - 500), Maximum (0, 0)

Solution steps

f^{'} (x) = - 3 x^{2} - 30 x

Find intervals:

Decreasing

: - \infty < x < - 10,

Increasing

: - 10 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 10

into

- x^{3} - 15 x^{2} : - 500

Minimum (- 10, - 500)

Plug

x = 0

into

- x^{3} - 15 x^{2} : 0

Maximum (0, 0)

Minimum (- 10, - 500), Maximum (0, 0)

f (x) = \frac{- x ^{2} - 6 x - 14}{x + 5}

f (x) = 17 + 4 x - x^{2}

y = 4 x^{2} + z^{2}

f (x, y) = - 4 x^{2} + 3 y^{2}

f (x) = x^{3} + 12 x^{2}

What is the extreme f(x)=-x^3-15x^2 ?
The extreme f(x)=-x^3-15x^2 is Minimum(-10,-500),Maximum(0,0)