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Popular Functions >

extreme 5x^4-x^5+4

Solution

extreme points

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

Solution

Minimum (0, 4), Maximum (4, 260)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 0

into

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

Minimum (0, 4)

Plug

x = 4

into

5 x^{4} - x^{5} + 4 : 260

Maximum (4, 260)

Minimum (0, 4), Maximum (4, 260)

Graph

Popular Examples

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

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

extreme y=cos(3x)-2 extreme points

y = cos (3 x) - 2

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

f (x) = - 3 x^{3} + 4 x^{2}, - 2 \leq x \leq 2

extreme (x^2+36)/(x^2)extreme points

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Frequently Asked Questions (FAQ)

What is the extreme 5x^4-x^5+4 ?
The extreme 5x^4-x^5+4 is Minimum(0,4),Maximum(4,260)