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Popular >

extreme f(x)=x^3-75x

Solution

extreme points

f (x) = x^{3} - 75 x

Solution

Maximum (- 5, 250), Minimum (5, - 250)

Solution steps

f^{'} (x) = 3 x^{2} - 75

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 5

into

x^{3} - 75 x : 250

Maximum (- 5, 250)

Plug

x = 5

into

x^{3} - 75 x : - 250

Minimum (5, - 250)

Maximum (- 5, 250), Minimum (5, - 250)

Popular Examples

inverse of f(x)=4x^3-5 inverse

f (x) = 4 x^{3} - 5

inverse of f(x)=(2x)/3-17 inverse

f (x) = \frac{2 x}{3} - 17

asymptotes of f(x)=(sqrt(4x^2-3))/(5x+7)asymptotes

f (x) = \frac{4 x ^{2} - 3}{5 x + 7}

domain of f(x)=(x^2-2x+1)/(x(x+1)-12)domain

f (x) = \frac{x ^{2} - 2 x + 1}{x ( x + 1 ) - 12}

critical f(x)=8x^3-x^4 critical points

f (x) = 8 x^{3} - x^{4}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-75x ?
The extreme f(x)=x^3-75x is Maximum(-5,250),Minimum(5,-250)