Find the Derivative of Y with Respect to X $$y = \tan ^ { - 1 } ( \ln 4 x )$$

question 472

Multiple Choice

Find the derivative of y with respect to x.
- $$y = \tan ^ { - 1 } ( \ln 4 x )$$

• A) \(\frac { 4 } { x \left( 1 + ( \ln 4 x ) ^ { 2 } \right) }\)
• B) \(\frac { 1 } { x \left( 1 + ( \ln 4 x ) ^ { 2 } \right) }\)
• C) \(\frac { 1 } { 1 + ( \ln 4 x ) ^ { 2 } }\)
• D) \(\frac { 1 } { x \sqrt { 1 + ( \ln 4 x ) ^ { 2 } } }\)

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Definitions:

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