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Popular >

extreme-2x^3+12x^2+2

Solution

extreme points

- 2 x^{3} + 12 x^{2} + 2

Solution

Minimum (0, 2), Maximum (4, 66)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 0

into

- 2 x^{3} + 12 x^{2} + 2 : 2

Minimum (0, 2)

Plug

x = 4

into

- 2 x^{3} + 12 x^{2} + 2 : 66

Maximum (4, 66)

Minimum (0, 2), Maximum (4, 66)

Popular Examples

midpoint (-7,-9),(-0.5,-3)midpoint

(- 7, - 9), (- 0.5, - 3)

domain of f(x)=sqrt(x+2)-1/(x^2-1)domain

f (x) = x + 2 - \frac{1}{x ^{2} - 1}

critical f(x)=(x+5)^{2/3}critical points

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

inverse of y=18x-17 inverse

y = 18 x - 17

domain of f(x)=(x+3)/(4-sqrt(x^2-9))domain

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

Frequently Asked Questions (FAQ)

What is the extreme-2x^3+12x^2+2 ?
The extreme-2x^3+12x^2+2 is Minimum(0,2),Maximum(4,66)