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

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

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

extreme points

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

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)

f (x) = x - y

f (x, y) = x y + 5 x - 5

f (x) = x + \frac{1}{x}, 0.2 \leq x \leq 4

f (x, y) = x^{3} + 3 x y^{2} - 3 y^{2} - 3 x^{2} + 11

f (x, y) = 7 x - 8 y + 2 x y - x^{2} + y^{3}

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