What is the critical ln(4x^2+2x-11) ?

The critical ln(4x^2+2x-11) is None

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critical ln(4x^2+2x-11)

critical points

ln (4 x^{2} + 2 x - 11)

None

Solution steps

ln (4 x^{2} + 2 x - 11)

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1}{4}, x = - \frac{1 + 3 5}{4}, x = \frac{- 1 + 3 5}{4}

Identify critical points not in

f (x)

domain

Domain of

ln (4 x^{2} + 2 x - 11) : x < \frac{- 3 5 - 1}{4} or x > \frac{- 1 + 3 5}{4}

ln (4 x^{2} + 2 x - 11)

is not defined at

x = - \frac{1}{4}, x = - \frac{1 + 3 5}{4}, x = \frac{- 1 + 3 5}{4}

, therefore:

None

f (x) = lo g_{6} (x + 2) - lo g_{6} (2)

f (x) = \frac{x ^{2} + 7 x - 18}{x ^{2} - 4}

f (x) = 4 x^{2} - 6

f (x) = \frac{x + 8}{x + 9}

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