What is the extreme f(x)=5x^4-x^5 ?

The extreme f(x)=5x^4-x^5 is Minimum(0,0),Maximum(4,256)

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extreme f(x)=5x^4-x^5

extreme points

f (x) = 5 x^{4} - x^{5}

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 0

into

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

Minimum (0, 0)

Plug

x = 4

into

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

Maximum (4, 256)

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

f (x) = \frac{1}{x} + ln (x), 0.5 \leq x \leq 4

f (x) = \frac{2 x - 3}{x} se

f (x) = \frac{x}{x ^{2} + 10 x + 21}

y = x + 1 - x

f (x) = x^{2} + 6 x + 6

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