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Popular >

extreme-5x^3+15x+4

Solution

extreme points

- 5 x^{3} + 15 x + 4

Solution

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

- 5 x^{3} + 15 x + 4 : - 6

Minimum (- 1, - 6)

Plug

x = 1

into

- 5 x^{3} + 15 x + 4 : 14

Maximum (1, 14)

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

Popular Examples

domain of f(x)=sqrt(x+5)-(sqrt(4-x))/x domain

f (x) = x + 5 - \frac{4 - x}{x}

line (-1/2 ,0),(0, 1/4)line

(- \frac{1}{2}, 0), (0, \frac{1}{4})

critical f(x)=12x-3x^2 critical points

f (x) = 12 x - 3 x^{2}

slope of y=(x+1)/6 slope

y = \frac{x + 1}{6}

domain of f(x)= 1/(\sqrt[4]{x)}domain

Frequently Asked Questions (FAQ)

What is the extreme-5x^3+15x+4 ?
The extreme-5x^3+15x+4 is Minimum(-1,-6),Maximum(1,14)