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Popular Functions >

extreme f(x)=1+2x-3x^2

Solution

extreme

Solution

Maximum (\frac{1}{3}, \frac{4}{3})

Solution steps

f^{'} (x) = - 6 x + 2

Find intervals:

Increasing

: - \infty < x < \frac{1}{3},

Decreasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

1 + 2 x - 3 x^{2} : \frac{4}{3}

Maximum (\frac{1}{3}, \frac{4}{3})

Graph

Popular Examples

extreme f(5/4 , 1/4)=2xy-x^2-5y^2+2x+1

extreme f(x)=3+x^2+xy+y^2

extreme f(x)=(ln(x))/(2x)

extreme f(x)=(2e^{3x})/(-2x-5)

Frequently Asked Questions (FAQ)

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