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Popular >

extreme f(x)=7x-x^2+18

Solution

extreme points

f (x) = 7 x - x^{2} + 18

Solution

Maximum (\frac{7}{2}, \frac{121}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{7}{2},

Decreasing

: \frac{7}{2} < x < \infty

Plug

x = \frac{7}{2}

into

7 x - x^{2} + 18 : \frac{121}{4}

Maximum (\frac{7}{2}, \frac{121}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=7x-x^2+18 ?
The extreme f(x)=7x-x^2+18 is Maximum(7/2 , 121/4)