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Popular >

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

Solution

extreme points

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

Solution

Maximum (2, 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

4 x - x^{2} : 4

Maximum (2, 4)

Popular Examples

symmetry x=-1/4 (y-4)^2-5 symmetry

x = - \frac{1}{4} (y - 4)^{2} - 5

critical f(x)=(x^2)/(x-9)critical points

f (x) = \frac{x ^{2}}{x - 9}

inverse of f(x)=(36)/x inverse

f (x) = \frac{36}{x}

extreme f(x)=5x^4+20x^3 extreme points

f (x) = 5 x^{4} + 20 x^{3}

f (x) = 2 x

Frequently Asked Questions (FAQ)

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