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Popular >

extreme f(x)=-27x^2+504x

Solution

extreme points

f (x) = - 27 x^{2} + 504 x

Solution

Maximum (\frac{28}{3}, 2352)

Solution steps

f^{'} (x) = - 54 x + 504

Find intervals:

Increasing

: - \infty < x < \frac{28}{3},

Decreasing

: \frac{28}{3} < x < \infty

Plug

x = \frac{28}{3}

into

- 27 x^{2} + 504 x : 2352

Maximum (\frac{28}{3}, 2352)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-27x^2+504x ?
The extreme f(x)=-27x^2+504x is Maximum(28/3 ,2352)