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Popular Functions >

extreme y=2x^3-3x^2+6

Solution

extreme points

y = 2 x^{3} - 3 x^{2} + 6

Solution

Maximum (0, 6), Minimum (1, 5)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

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

Maximum (0, 6)

Plug

x = 1

into

2 x^{3} - 3 x^{2} + 6 : 5

Minimum (1, 5)

Maximum (0, 6), Minimum (1, 5)

Graph

Popular Examples

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extreme f(x,y)=ln(y+x)

extreme f(x,y)=xe^y+y+1

Frequently Asked Questions (FAQ)

What is the extreme y=2x^3-3x^2+6 ?
The extreme y=2x^3-3x^2+6 is Maximum(0,6),Minimum(1,5)