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Popular >

extreme f(x)=-4x^2+96x-490

Solution

extreme points

f (x) = - 4 x^{2} + 96 x - 490

Solution

Maximum (12, 86)

Solution steps

f^{'} (x) = - 8 x + 96

Find intervals:

Increasing

: - \infty < x < 12,

Decreasing

: 12 < x < \infty

Plug

x = 12

into

- 4 x^{2} + 96 x - 490 : 86

Maximum (12, 86)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-4x^2+96x-490 ?
The extreme f(x)=-4x^2+96x-490 is Maximum(12,86)