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Popular >

extreme 4x^3-48x

Solution

extreme points

4 x^{3} - 48 x

Solution

Maximum (- 2, 64), Minimum (2, - 64)

Solution steps

f^{'} (x) = 12 x^{2} - 48

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

4 x^{3} - 48 x : 64

Maximum (- 2, 64)

Plug

x = 2

into

4 x^{3} - 48 x : - 64

Minimum (2, - 64)

Maximum (- 2, 64), Minimum (2, - 64)

Popular Examples

extreme (8-x^3)/(2x^2)extreme points

\frac{8 - x ^{3}}{2 x ^{2}}

parallel y=x+9 parallel

y = x + 9

asymptotes of e^x asymptotes

e^{x}

inflection f(x)=x^5-5x inflection points

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

domain of |x-10|domain

∣ x - 10 ∣

Frequently Asked Questions (FAQ)

What is the extreme 4x^3-48x ?
The extreme 4x^3-48x is Maximum(-2,64),Minimum(2,-64)