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Popular >

extreme x^3-3x^2+1

Solution

extreme points

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

Solution

Maximum (0, 1), Minimum (2, - 3)

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} + 1 : 1

Maximum (0, 1)

Plug

x = 2

into

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

Minimum (2, - 3)

Maximum (0, 1), Minimum (2, - 3)

Popular Examples

extreme f(x)= 8/135 x^3-1/20 x^2-7/16 x extreme points

f (x) = \frac{8}{135} x^{3} - \frac{1}{20} x^{2} - \frac{7}{16} x

extreme f(x)=-x^2(x+1)^2(x-1)^2 extreme points

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

extreme f(x,y)= 1/(sqrt(9-x^2-y^2))extreme points

f (x, y) = \frac{1}{9 - x ^{2} - y ^{2}}

extreme f(x,y)=3y^2-2y^3-3x^2+6xy extreme points

f (x, y) = 3 y^{2} - 2 y^{3} - 3 x^{2} + 6 x y

solvefor V,V=pir2h solve for

V, V = π r 2 h

Frequently Asked Questions (FAQ)

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