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Popular Functions >

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

Solution

extreme

Solution

Maximum (\frac{1}{2}, \frac{9}{2})

Solution steps

f^{'} (x) = - 4 x + 2

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

- 2 x^{2} + 2 x + 4 : \frac{9}{2}

Maximum (\frac{1}{2}, \frac{9}{2})

Graph

Popular Examples

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extreme f(x)=(-3x^2y+9xy^2-12xy)/(xy)

extreme f(x)=-3+8x-x^3

extreme f(x)=(x+1)/(x^2-2x-3)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2+2x+4 ?
The extreme f(x)=-2x^2+2x+4 is Maximum(1/2 , 9/2)