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Popular Functions >

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

Solution

extreme

Solution

Maximum (- \frac{1}{4}, \frac{1}{8})

Solution steps

f^{'} (x) = - 4 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{4},

Decreasing

: - \frac{1}{4} < x < \infty

Plug

x = - \frac{1}{4}

into

- 2 x^{2} - x : \frac{1}{8}

Maximum (- \frac{1}{4}, \frac{1}{8})

Graph

Popular Examples

extreme f(x)=x^{2/3}(x+4)

extreme f(x)=7x^4-28x^{3+7}

extreme (3/2)^x

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

extreme f(x,y)=2x^2-5x+6y+2y^2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2-x ?
The extreme f(x)=-2x^2-x is Maximum(-1/4 , 1/8)