Find the Derivative Of $f ( x ) = \frac { \tan x } { x ^ { 3 } }$

question 72

Multiple Choice

Find the derivative of $f ( x ) = \frac { \tan x } { x ^ { 3 } }$ .

• A) \(\frac { \sec x } { 3 x ^ { 2 } }\)
• B) \(\frac { x \sec ^ { 2 } x - 3 \tan x } { x ^ { 4 } }\).
• C) \(\frac { \sec ^ { 2 } x } { 3 x ^ { 2 } }\)
• D) \(\frac { x \sec ^ { 2 } x - 3 \tan x } { x ^ { 4 } }\)
• E) \(\frac { \tan x } { 3 x ^ { 2 } }\)
• F) \(\frac { x \sec x - 3 \tan x } { x ^ { 4 } }\)
• G) \(\frac { \sec ^ { 2 } x } { x ^ { 3 } }\)
• H)None of the above

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