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Find the Derivative of the Function z(x)=3ln⁡∣4(sec⁡x+tan⁡x)z ( x ) = 3 \ln \mid 4 ( \sec x + \tan x )

Question 64

Multiple Choice

Find the derivative of the function. z(x) =3ln⁡∣4(sec⁡x+tan⁡x) z ( x ) = 3 \ln \mid 4 ( \sec x + \tan x )


A) z(x) =9sec⁡xz ( x ) = 9 \sec x
B) z′(x) =3sec⁡x4z ^ { \prime } ( x ) = \frac { 3 \sec x } { 4 }
C) z′(x) =3(1+tan⁡2x) z ^ { \prime } ( x ) = 3 \left( 1 + \tan ^ { 2 } x \right)
D) z′(x) =sec⁡xz ^ { \prime } ( x ) = \sec x
E) z(x) =3sec⁡xz ( x ) = 3 \sec x

Correct Answer:

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