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

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

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

critical points

f (x) = 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{3 x + 2}{4 x - 3}

f (x) = g (x) = 7 x^{3} - x

f (x) = ln (x - 3)

\frac{2}{3 + x}