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Popular >

extreme 4x^3-48x-6

Solution

extreme points

4 x^{3} - 48 x - 6

Solution

Maximum (- 2, 58), Minimum (2, - 70)

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 - 6 : 58

Maximum (- 2, 58)

Plug

x = 2

into

4 x^{3} - 48 x - 6 : - 70

Minimum (2, - 70)

Maximum (- 2, 58), Minimum (2, - 70)

Popular Examples

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extreme f(x)=x^3-9x^2+15x-4 extreme points

f (x) = x^{3} - 9 x^{2} + 15 x - 4

extreme P(x,y)=3x^2y+4xy^2-y^{-4}extreme points

P (x, y) = 3 x^{2} y + 4 x y^{2} - y^{- 4}

Frequently Asked Questions (FAQ)

What is the extreme 4x^3-48x-6 ?
The extreme 4x^3-48x-6 is Maximum(-2,58),Minimum(2,-70)