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Popular >

extreme f(x)=12+4x-x^2

Solution

extreme points

f (x) = 12 + 4 x - x^{2}

Solution

Maximum (2, 16)

Solution steps

f^{'} (x) = - 2 x + 4

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

12 + 4 x - x^{2} : 16

Maximum (2, 16)

Popular Examples

critical 3x^{2/3}-3 critical points

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

inverse of x^3+10 inverse

x^{3} + 10

extreme f(x)=x^3-5x^2-8x+5 extreme points

f (x) = x^{3} - 5 x^{2} - 8 x + 5

symmetry 5x^2-4x+3 symmetry

5 x^{2} - 4 x + 3

domain of f(x)=6x^4 domain

f (x) = 6 x^{4}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=12+4x-x^2 ?
The extreme f(x)=12+4x-x^2 is Maximum(2,16)