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Popular >

extreme x^3-48x+7

Solution

extreme points

x^{3} - 48 x + 7

Solution

Maximum (- 4, 135), Minimum (4, - 121)

Solution steps

f^{'} (x) = 3 x^{2} - 48

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = - 4

into

x^{3} - 48 x + 7 : 135

Maximum (- 4, 135)

Plug

x = 4

into

x^{3} - 48 x + 7 : - 121

Minimum (4, - 121)

Maximum (- 4, 135), Minimum (4, - 121)

Popular Examples

inverse of sqrt(8-x)+7 inverse

8 - x + 7

domain of y= 2/(|x|-2)domain

y = \frac{2}{∣ x ∣ - 2}

inverse of f(x)=(4/3)^{x-2}inverse

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

domain of f(x)=-sin(x-4)-5 domain

f (x) = - sin (x - 4) - 5

distance (-4,-7),(-22,-87)distance

(- 4, - 7), (- 22, - 87)

Frequently Asked Questions (FAQ)

What is the extreme x^3-48x+7 ?
The extreme x^3-48x+7 is Maximum(-4,135),Minimum(4,-121)