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Popular Functions >

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

Solution

extreme

Solution

Maximum (\frac{1}{2}, \frac{29}{4})

Solution steps

f^{'} (x) = - 10 x + 5

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

6 + 5 x - 5 x^{2} : \frac{29}{4}

Maximum (\frac{1}{2}, \frac{29}{4})

Graph

Popular Examples

extreme f(x,y,z)=ln(4-x-y)

extreme (0.5x^2+4x-10)/(x-6)

extreme f(x)=2x^2-8x-7

extreme f(x)=3cos(x)+3sin(x)

extreme f(x)=(5-x)e^x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6+5x-5x^2 ?
The extreme f(x)=6+5x-5x^2 is Maximum(1/2 , 29/4)