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Popular >

extreme 4x^3-48x-1

Solution

extreme points

4 x^{3} - 48 x - 1

Solution

Maximum (- 2, 63), Minimum (2, - 65)

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 - 1 : 63

Maximum (- 2, 63)

Plug

x = 2

into

4 x^{3} - 48 x - 1 : - 65

Minimum (2, - 65)

Maximum (- 2, 63), Minimum (2, - 65)

Graph

Popular Examples

extreme f(x)=x^3-9x^2+15x+8 extreme points

f (x) = x^{3} - 9 x^{2} + 15 x + 8

extreme f(x,y)=2ln(x)+4ln(y)-4x^2-y extreme points

f (x, y) = 2 ln (x) + 4 ln (y) - 4 x^{2} - y

extreme f(x)= 1/2 x^4-4x^2+6 extreme points

f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 6

extreme f(x)=x^3-9x^2+15x+5 extreme points

f (x) = x^{3} - 9 x^{2} + 15 x + 5

extreme f(x,y)=-x^2+8-y^2 extreme points

f (x, y) = - x^{2} + 8 - y^{2}

Frequently Asked Questions (FAQ)

What is the extreme 4x^3-48x-1 ?
The extreme 4x^3-48x-1 is Maximum(-2,63),Minimum(2,-65)