What is the extreme f(x)=((3x-57))/((x-85)^7) ?

The extreme f(x)=((3x-57))/((x-85)^7) is Maximum(8, 3/1458956660623)

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extreme f(x)=((3x-57))/((x-85)^7)

extreme points

f (x) = \frac{( 3 x - 57 )}{( x - 85 ) ^{7}}

Maximum (8, \frac{3}{1458956660623})

Solution steps

f^{'} (x) = \frac{18 ( - x + 8 )}{( x - 85 ) ^{8}}

Find intervals:

Increasing

: - \infty < x < 8,

Decreasing

: 8 < x < 85,

Decreasing

: 85 < x < \infty

Plug

x = 8

into

\frac{3 x - 57}{( x - 85 ) ^{7}} : \frac{3}{1458956660623}

Maximum (8, \frac{3}{1458956660623})

f (x, y) = 3 - 25 - (x + 1)^{2} - (y - 1)^{2}

f (x, y) = - 2 x^{2} + 3 x y - y^{2} + x + y

f (x) = ln (2 + sin (x))

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

f (x y) = 2 x^{2} - 8 x + y^{2} + 16 y + 100

What is the extreme f(x)=((3x-57))/((x-85)^7) ?
The extreme f(x)=((3x-57))/((x-85)^7) is Maximum(8, 3/1458956660623)