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Find the Derivative of the Function z(x)=3ln4(secx+tanx)z ( x ) = 3 \ln \mid 4 ( \sec x + \tan x )

Question 64

Multiple Choice

Find the derivative of the function. z(x) =3ln4(secx+tanx) z ( x ) = 3 \ln \mid 4 ( \sec x + \tan x )


A) z(x) =9secxz ( x ) = 9 \sec x
B) z(x) =3secx4z ^ { \prime } ( x ) = \frac { 3 \sec x } { 4 }
C) z(x) =3(1+tan2x) z ^ { \prime } ( x ) = 3 \left( 1 + \tan ^ { 2 } x \right)
D) z(x) =secxz ^ { \prime } ( x ) = \sec x
E) z(x) =3secxz ( x ) = 3 \sec x

Correct Answer:

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