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Popular Functions >

extreme x^3-3x^2+5

Solution

extreme

Solution

Maximum (0, 5), Minimum (2, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

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

Maximum (0, 5)

Plug

x = 2

into

x^{3} - 3 x^{2} + 5 : 1

Minimum (2, 1)

Maximum (0, 5), Minimum (2, 1)

Graph

Popular Examples

extreme f(x)=(x^2)/(4-x^2)

extreme f(x)=x^4-12x^2+36

extreme f(x)=1+cos(x)

extreme f(x)=x^2e^{-6x}

extreme f(x)=3x^3-3x^2-3x+4

Frequently Asked Questions (FAQ)

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