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Popular >

extreme f(x)=3x-x^2

Solution

extreme points

f (x) = 3 x - x^{2}

Solution

Maximum (\frac{3}{2}, \frac{9}{4})

Solution steps

f^{'} (x) = 3 - 2 x

Find intervals:

Increasing

: - \infty < x < \frac{3}{2},

Decreasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

3 x - x^{2} : \frac{9}{4}

Maximum (\frac{3}{2}, \frac{9}{4})

Popular Examples

slope of 2x+4y=8 slope

2 x + 4 y = 8

inverse of f(x)=-6x-1 inverse

f (x) = - 6 x - 1

intercepts of f(x)=sqrt(x^2-9)intercepts

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

domain of f(x)=-x+5 domain

f (x) = - x + 5

inverse of 9x inverse

9 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x-x^2 ?
The extreme f(x)=3x-x^2 is Maximum(3/2 , 9/4)