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Popular >

extreme x^9-9x

Solution

extreme points

x^{9} - 9 x

Solution

Maximum (- 1, 8), Minimum (1, - 8)

Solution steps

f^{'} (x) = 9 x^{8} - 9

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{9} - 9 x : 8

Maximum (- 1, 8)

Plug

x = 1

into

x^{9} - 9 x : - 8

Minimum (1, - 8)

Maximum (- 1, 8), Minimum (1, - 8)

Popular Examples

extreme x^2+4x-5 extreme points

x^{2} + 4 x - 5

extreme f(x)=2sin(x)-x,0<= x<= 2pi extreme points

f (x) = 2 sin (x) - x, 0 \leq x \leq 2 π

extreme f(x)=8+6x-7x^2-4x^3 extreme points

f (x) = 8 + 6 x - 7 x^{2} - 4 x^{3}

extreme f(x)=(20)/(3(2+x)^3)extreme points

f (x) = \frac{20}{3 ( 2 + x ) ^{3}}

extreme f(x)=(-x-5)/(x^2+16x+64)extreme points

f (x) = \frac{- x - 5}{x ^{2} + 16 x + 64}

Frequently Asked Questions (FAQ)

What is the extreme x^9-9x ?
The extreme x^9-9x is Maximum(-1,8),Minimum(1,-8)