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Popular >

extreme y=4x^3-48x-5

Solution

extreme points

y = 4 x^{3} - 48 x - 5

Solution

Maximum (- 2, 59), Minimum (2, - 69)

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 - 5 : 59

Maximum (- 2, 59)

Plug

x = 2

into

4 x^{3} - 48 x - 5 : - 69

Minimum (2, - 69)

Maximum (- 2, 59), Minimum (2, - 69)

Popular Examples

domain of |x|+5 domain

∣ x ∣ + 5

domain of (2x-12)/(x^2-12x)domain

\frac{2 x - 12}{x ^{2} - 12 x}

domain of f(x)=5-sqrt(10-2x)domain

f (x) = 5 - 10 - 2 x

asymptotes of f(x)=ln((x+1)/(x-1))asymptotes

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

domain of (x^2+7x+12)/(-2x^2-2x+12)domain

\frac{x ^{2} + 7 x + 12}{- 2 x ^{2} - 2 x + 12}

Frequently Asked Questions (FAQ)

What is the extreme y=4x^3-48x-5 ?
The extreme y=4x^3-48x-5 is Maximum(-2,59),Minimum(2,-69)