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Popular >

extreme 4x^5-5x^4

Solution

extreme points

4 x^{5} - 5 x^{4}

Solution

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

Solution steps

f^{'} (x) = 20 x^{4} - 20 x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

4 x^{5} - 5 x^{4} : 0

Maximum (0, 0)

Plug

x = 1

into

4 x^{5} - 5 x^{4} : - 1

Minimum (1, - 1)

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

Popular Examples

extreme f(x)=(x^2-3x+5)e^{(-x)/3}extreme points

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

extreme f(x)=4x^2+8x+4y^2+4 extreme points

f (x) = 4 x^{2} + 8 x + 4 y^{2} + 4

extreme f(x)=3x^2+2x-1 extreme points

f (x) = 3 x^{2} + 2 x - 1

extreme f(x)=x^2+8x+17 extreme points

f (x) = x^{2} + 8 x + 17

extreme f(x)=-2+\sqrt[5]{x^2-6x}extreme points

Frequently Asked Questions (FAQ)

What is the extreme 4x^5-5x^4 ?
The extreme 4x^5-5x^4 is Maximum(0,0),Minimum(1,-1)