What is the extreme f(x)=518x-3x^2-100-50x ?

The extreme f(x)=518x-3x^2-100-50x is Maximum(78,18152)

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extreme f(x)=518x-3x^2-100-50x

extreme points

f (x) = 518 x - 3 x^{2} - 100 - 50 x

Maximum (78, 18152)

Solution steps

f^{'} (x) = - 6 x + 468

Find intervals:

Increasing

: - \infty < x < 78,

Decreasing

: 78 < x < \infty

Plug

x = 78

into

518 x - 3 x^{2} - 100 - 50 x : 18152

Maximum (78, 18152)

What is the extreme f(x)=518x-3x^2-100-50x ?
The extreme f(x)=518x-3x^2-100-50x is Maximum(78,18152)