What is the extreme f(x)=2x^3-15x^2-300x+2 ?

The extreme f(x)=2x^3-15x^2-300x+2 is Maximum(-5,877),Minimum(10,-2498)

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extreme f(x)=2x^3-15x^2-300x+2

extreme points

f (x) = 2 x^{3} - 15 x^{2} - 300 x + 2

Maximum (- 5, 877), Minimum (10, - 2498)

Solution steps

f^{'} (x) = 6 x^{2} - 30 x - 300

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 10,

Increasing

: 10 < x < \infty

Plug

x = - 5

into

2 x^{3} - 15 x^{2} - 300 x + 2 : 877

Maximum (- 5, 877)

Plug

x = 10

into

2 x^{3} - 15 x^{2} - 300 x + 2 : - 2498

Minimum (10, - 2498)

Maximum (- 5, 877), Minimum (10, - 2498)

F (t) = e^{a t}

f (x) = e^{- a x}

f (x) = - x^{3} + 6 x^{2} - 9 x

f (x) = x^{2} + 9 x + 5

f (x) = x^{4} - 8 x^{2} + a

What is the extreme f(x)=2x^3-15x^2-300x+2 ?
The extreme f(x)=2x^3-15x^2-300x+2 is Maximum(-5,877),Minimum(10,-2498)