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Popular Functions >

extreme f(x)=10+3x-x^2

Solution

extreme

Solution

Maximum (\frac{3}{2}, \frac{49}{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

10 + 3 x - x^{2} : \frac{49}{4}

Maximum (\frac{3}{2}, \frac{49}{4})

Graph

Popular Examples

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

extreme f(x)=3x^4-8x^3-6x^2+24x-3

extreme f(x)=3x^5-x^3+4x-2

extreme F(x,y)=x^2+y^2+x+y+xy

Frequently Asked Questions (FAQ)

What is the extreme f(x)=10+3x-x^2 ?
The extreme f(x)=10+3x-x^2 is Maximum(3/2 , 49/4)