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Popular >

extreme f(x)=-12x^2+4x

Solution

extreme points

f (x) = - 12 x^{2} + 4 x

Solution

Maximum (\frac{1}{6}, \frac{1}{3})

Solution steps

f^{'} (x) = - 24 x + 4

Find intervals:

Increasing

: - \infty < x < \frac{1}{6},

Decreasing

: \frac{1}{6} < x < \infty

Plug

x = \frac{1}{6}

into

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

Maximum (\frac{1}{6}, \frac{1}{3})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-12x^2+4x ?
The extreme f(x)=-12x^2+4x is Maximum(1/6 , 1/3)