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Popular Functions >

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

Solution

extreme

Solution

Maximum (- \frac{3}{4}, \frac{49}{8})

Solution steps

f^{'} (x) = - 4 x - 3

Find intervals:

Increasing

: - \infty < x < - \frac{3}{4},

Decreasing

: - \frac{3}{4} < x < \infty

Plug

x = - \frac{3}{4}

into

- 2 x^{2} - 3 x + 5 : \frac{49}{8}

Maximum (- \frac{3}{4}, \frac{49}{8})

Graph

Popular Examples

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extreme f(x,y)=-8x^3y+2xy^2-5x^2y^5+12x

extreme f(x)=9x^4-4x^3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2-3x+5 ?
The extreme f(x)=-2x^2-3x+5 is Maximum(-3/4 , 49/8)