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Popular >

extreme y=4x^3-48x-1

Solution

extreme points

y = 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)

Popular Examples

inflection f(x)=x(x-8)^3 inflection points

f (x) = x (x - 8)^{3}

domain of f(x)=x-sqrt(x)domain

f (x) = x - x

range of 2sqrt(x+4)-3 range

2 x + 4 - 3

domain of x^3+1 domain

x^{3} + 1

inverse of f(x)=sqrt(64-x^2)inverse

f (x) = 64 - x^{2}

Frequently Asked Questions (FAQ)

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