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Popular Functions >

extreme f(x)=4x-3x^2+1

Solution

extreme

Solution

Maximum (\frac{2}{3}, \frac{7}{3})

Solution steps

f^{'} (x) = - 6 x + 4

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{2}{3}

into

4 x - 3 x^{2} + 1 : \frac{7}{3}

Maximum (\frac{2}{3}, \frac{7}{3})

Graph

Popular Examples

extreme y=(x+7)(x+3)

extreme R(M)=M^2(1/2-M/3)

extreme f(x)=4xe^{-4x+1}

extreme f(x)=(x^2+2)e^{-2x}

extreme f(x,y)=x^2+3y^2-2xy+10x-2y+4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4x-3x^2+1 ?
The extreme f(x)=4x-3x^2+1 is Maximum(2/3 , 7/3)