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Find the Derivative of Y with Respect to X y=tan1(ln4x)y = \tan ^ { - 1 } ( \ln 4 x )

Question 472

Multiple Choice

Find the derivative of y with respect to x.
- y=tan1(ln4x) y = \tan ^ { - 1 } ( \ln 4 x )


A) 4x(1+(ln4x) 2) \frac { 4 } { x \left( 1 + ( \ln 4 x ) ^ { 2 } \right) }
B) 1x(1+(ln4x) 2) \frac { 1 } { x \left( 1 + ( \ln 4 x ) ^ { 2 } \right) }
C) 11+(ln4x) 2\frac { 1 } { 1 + ( \ln 4 x ) ^ { 2 } }
D) 1x1+(ln4x) 2\frac { 1 } { x \sqrt { 1 + ( \ln 4 x ) ^ { 2 } } }

Correct Answer:

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