What is the extreme f(x)=5x^3+5x^2-5x ?

The extreme f(x)=5x^3+5x^2-5x is Maximum(-1,5),Minimum(1/3 ,-25/27)

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extreme f(x)=5x^3+5x^2-5x

extreme points

f (x) = 5 x^{3} + 5 x^{2} - 5 x

Maximum (- 1, 5), Minimum (\frac{1}{3}, - \frac{25}{27})

Solution steps

f^{'} (x) = 15 x^{2} + 10 x - 5

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < \frac{1}{3},

Increasing

: \frac{1}{3} < x < \infty

Plug

x = - 1

into

5 x^{3} + 5 x^{2} - 5 x : 5

Maximum (- 1, 5)

Plug

x = \frac{1}{3}

into

5 x^{3} + 5 x^{2} - 5 x : - \frac{25}{27}

Minimum (\frac{1}{3}, - \frac{25}{27})

Maximum (- 1, 5), Minimum (\frac{1}{3}, - \frac{25}{27})

e^{- x} (2 x + 1) + 3

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

x^{3} + \frac{48}{x}

f (x) = 3 x^{5} - 6 x^{3}

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

What is the extreme f(x)=5x^3+5x^2-5x ?
The extreme f(x)=5x^3+5x^2-5x is Maximum(-1,5),Minimum(1/3 ,-25/27)