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Popular >

extreme 5x^3-15x

Solution

extreme points

5 x^{3} - 15 x

Solution

Maximum (- 1, 10), Minimum (1, - 10)

Solution steps

f^{'} (x) = 15 x^{2} - 15

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

5 x^{3} - 15 x : 10

Maximum (- 1, 10)

Plug

x = 1

into

5 x^{3} - 15 x : - 10

Minimum (1, - 10)

Maximum (- 1, 10), Minimum (1, - 10)

Popular Examples

extreme f(x)=x^2-4x extreme points

f (x) = x^{2} - 4 x

domain of f(x)=5x-1 domain

f (x) = 5 x - 1

inverse of f(x)=(2x-1)/(2x+9)inverse

f (x) = \frac{2 x - 1}{2 x + 9}

asymptotes of f(x)=(x+7)/(x^2+2x-3)asymptotes

f (x) = \frac{x + 7}{x ^{2} + 2 x - 3}

domain of f(x)=(3-x^2)/(x^2-4)domain

f (x) = \frac{3 - x ^{2}}{x ^{2} - 4}

Frequently Asked Questions (FAQ)

What is the extreme 5x^3-15x ?
The extreme 5x^3-15x is Maximum(-1,10),Minimum(1,-10)