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Popular >

extreme f(x)=7+5x-5x^2

Solution

extreme points

f (x) = 7 + 5 x - 5 x^{2}

Solution

Maximum (\frac{1}{2}, \frac{33}{4})

Solution steps

f^{'} (x) = - 10 x + 5

Find intervals:

Increasing

: - \infty < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

7 + 5 x - 5 x^{2} : \frac{33}{4}

Maximum (\frac{1}{2}, \frac{33}{4})

Graph

Popular Examples

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extreme f(x,y)=x^2+2y^2-xy+3x+2y extreme points

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=7+5x-5x^2 ?
The extreme f(x)=7+5x-5x^2 is Maximum(1/2 , 33/4)