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Popular >

extreme 2x^3-6x^2+4

Solution

extreme points

2 x^{3} - 6 x^{2} + 4

Solution

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

Solution steps

f^{'} (x) = 6 x^{2} - 12 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

2 x^{3} - 6 x^{2} + 4 : 4

Maximum (0, 4)

Plug

x = 2

into

2 x^{3} - 6 x^{2} + 4 : - 4

Minimum (2, - 4)

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

Graph

Popular Examples

domain of f(z)=(46)/x domain

f (z) = \frac{46}{x}

domain of f(x)= x/(x^2+81)domain

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

perpendicular y= 3/2 x-1,(2,3)perpendicular

y = \frac{3}{2} x - 1, (2, 3)

intercepts of y=4x-8 intercepts

y = 4 x - 8

inverse of f(x)=-3/4 x+12 inverse

f (x) = - \frac{3}{4} x + 12

Frequently Asked Questions (FAQ)

What is the extreme 2x^3-6x^2+4 ?
The extreme 2x^3-6x^2+4 is Maximum(0,4),Minimum(2,-4)