What is the extreme f(x)=2x^3+9x^2-24x-10 ?

The extreme f(x)=2x^3+9x^2-24x-10 is Maximum(-4,102),Minimum(1,-23)

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extreme f(x)=2x^3+9x^2-24x-10

extreme points

f (x) = 2 x^{3} + 9 x^{2} - 24 x - 10

Maximum (- 4, 102), Minimum (1, - 23)

Solution steps

f^{'} (x) = 6 x^{2} + 18 x - 24

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 4

into

2 x^{3} + 9 x^{2} - 24 x - 10 : 102

Maximum (- 4, 102)

Plug

x = 1

into

2 x^{3} + 9 x^{2} - 24 x - 10 : - 23

Minimum (1, - 23)

Maximum (- 4, 102), Minimum (1, - 23)

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

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

f (x) = \frac{25 x ^{2} + 81}{x}

K (y, z) = 4 yz

f (x) = 5 x^{3} e^{- 0.9 x}, - 1 \leq x \leq 5

What is the extreme f(x)=2x^3+9x^2-24x-10 ?
The extreme f(x)=2x^3+9x^2-24x-10 is Maximum(-4,102),Minimum(1,-23)