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Popular Functions >

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

Solution

extreme

Solution

Maximum (\frac{3}{2}, \frac{29}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{3}{2},

Decreasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

- x^{2} + 3 x + 5 : \frac{29}{4}

Maximum (\frac{3}{2}, \frac{29}{4})

Graph

Popular Examples

extreme f(x,y)=x^3y^2-3xy

extreme f(x)=(x^2-1)/(4-x^2)

extreme f(x,y)=-2x^2+8x-3y^2+24y+7

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

extreme f(x,y)=sqrt(400-64x^2-49y^2)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+3x+5 ?
The extreme f(x)=-x^2+3x+5 is Maximum(3/2 , 29/4)