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Popular Functions >

extreme f(x)=2x-5x^2+4

Solution

extreme

Solution

Maximum (\frac{1}{5}, \frac{21}{5})

Solution steps

f^{'} (x) = - 10 x + 2

Find intervals:

Increasing

: - \infty < x < \frac{1}{5},

Decreasing

: \frac{1}{5} < x < \infty

Plug

x = \frac{1}{5}

into

2 x - 5 x^{2} + 4 : \frac{21}{5}

Maximum (\frac{1}{5}, \frac{21}{5})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x-5x^2+4 ?
The extreme f(x)=2x-5x^2+4 is Maximum(1/5 , 21/5)