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Popular >

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

Solution

extreme points

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

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})

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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)