What is the extreme f(x)=2x^3-9x^2-60x ?

The extreme f(x)=2x^3-9x^2-60x is Maximum(-2,68),Minimum(5,-275)

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extreme f(x)=2x^3-9x^2-60x

extreme points

f (x) = 2 x^{3} - 9 x^{2} - 60 x

Maximum (- 2, 68), Minimum (5, - 275)

Solution steps

f^{'} (x) = 6 x^{2} - 18 x - 60

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 2

into

2 x^{3} - 9 x^{2} - 60 x : 68

Maximum (- 2, 68)

Plug

x = 5

into

2 x^{3} - 9 x^{2} - 60 x : - 275

Minimum (5, - 275)

Maximum (- 2, 68), Minimum (5, - 275)

f (x, y) = x^{3} + 3 x^{2} + 6 x y + y^{2}

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

f (x) = \frac{x ^{3} + 9}{x ^{2} + 4}

f (x, y) = 2 x^{3} - 9 x^{2} + 12 x + 2 y^{3} + 3 y^{2}

f (x) = x 6 - x^{2}

What is the extreme f(x)=2x^3-9x^2-60x ?
The extreme f(x)=2x^3-9x^2-60x is Maximum(-2,68),Minimum(5,-275)