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Popular Functions >

extreme y=x^5-5x^4

Solution

extreme

Solution

Maximum (0, 0), Minimum (4, - 256)

Solution steps

f^{'} (x) = 5 x^{4} - 20 x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = 4

into

x^{5} - 5 x^{4} : - 256

Minimum (4, - 256)

Maximum (0, 0), Minimum (4, - 256)

Graph

Popular Examples

extreme f(x)=x^3+3x^2,-5/2 <= x<= 1

extreme 1/((x+1)(x+2)(x+3))

extreme f(x)=3x^2+10x-5

extreme f(x,y)=-x^2-4x-y^2+2y-1

extreme y=xsqrt(x^2+1)

Frequently Asked Questions (FAQ)

What is the extreme y=x^5-5x^4 ?
The extreme y=x^5-5x^4 is Maximum(0,0),Minimum(4,-256)