What is the extreme f(x)=5x^4-x^5+8 ?

The extreme f(x)=5x^4-x^5+8 is Minimum(0,8),Maximum(4,264)

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extreme f(x)=5x^4-x^5+8

extreme points

f (x) = 5 x^{4} - x^{5} + 8

Minimum (0, 8), Maximum (4, 264)

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} + 8 : 8

Minimum (0, 8)

Plug

x = 4

into

5 x^{4} - x^{5} + 8 : 264

Maximum (4, 264)

Minimum (0, 8), Maximum (4, 264)

f (x) = 5 x^{4} - x^{5} + 7

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

17 r^{2} - r^{3}

f (x, y) = 7 - x^{4} + 2 x^{2} - y^{2}

\frac{( 12 x ^{3} )}{3} + 38 x^{2} + 56 x, - 8 \leq x \leq 1

What is the extreme f(x)=5x^4-x^5+8 ?
The extreme f(x)=5x^4-x^5+8 is Minimum(0,8),Maximum(4,264)