What is the critical 2x-5ln(4x+2) ?

The critical 2x-5ln(4x+2) is x=2

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critical 2x-5ln(4x+2)

critical points

2 x - 5 ln (4 x + 2)

x = 2

Solution steps

2 x - 5 ln (4 x + 2)

Find where

f^{'} (x)

is equal to zero or undefined

x = 2, x = - \frac{1}{2}

Identify critical points not in

f (x)

domain

Domain of

2 x - 5 ln (4 x + 2) : x > - \frac{1}{2}

2 x - 5 ln (4 x + 2)

is not defined at

x = - \frac{1}{2}

, therefore:

x = 2

f (x) = \frac{1}{x - 1} - \frac{1}{x}

f (x) = \frac{1}{( x - 6 ) ( x + 1 )}

\frac{2}{x ^{4}} - 4

f (x) = 7 x^{5}

f (x) = \frac{3 x + 6}{x + 2}