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Popular >

extreme f(x)=5+3x-3x^2

Solution

extreme points

f (x) = 5 + 3 x - 3 x^{2}

Solution

Maximum (\frac{1}{2}, \frac{23}{4})

Solution steps

f^{'} (x) = - 6 x + 3

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

5 + 3 x - 3 x^{2} : \frac{23}{4}

Maximum (\frac{1}{2}, \frac{23}{4})

Graph

Popular Examples

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x^{4} - 16

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f (x) = - x^{\frac{2}{3}} (x - 4)

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f (x) = - x^{\frac{2}{3}} (x - 1)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=5+3x-3x^2 ?
The extreme f(x)=5+3x-3x^2 is Maximum(1/2 , 23/4)