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Popular Functions >

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

Solution

extreme

Solution

Maximum (\frac{1}{2}, \frac{23}{4})

Solution steps

f^{'} (x) = - 6 x + 3

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

5 + 3 x - 3 x^{2} : \frac{23}{4}

Maximum (\frac{1}{2}, \frac{23}{4})

Graph

Popular Examples

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

extreme f(x,y)=2x+4y-x^2-y^2-3

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

extreme f(x)=x^3(x-6)^4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5+3x-3x^2 ?
The extreme f(x)=5+3x-3x^2 is Maximum(1/2 , 23/4)