What is the extreme f(x)=x^5-5x-10 ?

The extreme f(x)=x^5-5x-10 is Maximum(-1,-6),Minimum(1,-14)

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extreme f(x)=x^5-5x-10

extreme points

f (x) = x^{5} - 5 x - 10

Maximum (- 1, - 6), Minimum (1, - 14)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{5} - 5 x - 10 : - 6

Maximum (- 1, - 6)

Plug

x = 1

into

x^{5} - 5 x - 10 : - 14

Minimum (1, - 14)

Maximum (- 1, - 6), Minimum (1, - 14)

f (x) = 4 - \frac{16}{3} x^{2}, 0 \leq x \leq \frac{1}{2}

f (x) = x^{2} - 5 x - 2

f (x) = - 2 x^{3} + 36 x^{2} - 192 x + 4

x + \frac{49}{x}

f (x) = x x + 4

What is the extreme f(x)=x^5-5x-10 ?
The extreme f(x)=x^5-5x-10 is Maximum(-1,-6),Minimum(1,-14)