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Popular >

extreme f(x)=2+5x-x^2

Solution

extreme points

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

Solution

Maximum (\frac{5}{2}, \frac{33}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{5}{2},

Decreasing

: \frac{5}{2} < x < \infty

Plug

x = \frac{5}{2}

into

2 + 5 x - x^{2} : \frac{33}{4}

Maximum (\frac{5}{2}, \frac{33}{4})

Popular Examples

domain of y=sqrt(x^2-1)domain

y = x^{2} - 1

critical 1/(x+2)critical points

\frac{1}{x + 2}

intercepts of (6x+9)/(x-1)intercepts

\frac{6 x + 9}{x - 1}

slope of 7x+2y=14 slope

7 x + 2 y = 14

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

f (x) = \frac{1}{6} x - 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2+5x-x^2 ?
The extreme f(x)=2+5x-x^2 is Maximum(5/2 , 33/4)