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Find the Derivative Of f(x)=tanxx3f ( x ) = \frac { \tan x } { x ^ { 3 } }

Question 72

Multiple Choice

Find the derivative of f(x) =tanxx3f ( x ) = \frac { \tan x } { x ^ { 3 } } .


A) secx3x2\frac { \sec x } { 3 x ^ { 2 } }

B) xsec2x3tanxx4\frac { x \sec ^ { 2 } x - 3 \tan x } { x ^ { 4 } } .

C) sec2x3x2\frac { \sec ^ { 2 } x } { 3 x ^ { 2 } }
D) xsec2x3tanxx4\frac { x \sec ^ { 2 } x - 3 \tan x } { x ^ { 4 } }
E) tanx3x2\frac { \tan x } { 3 x ^ { 2 } }
F) xsecx3tanxx4\frac { x \sec x - 3 \tan x } { x ^ { 4 } }
G) sec2xx3\frac { \sec ^ { 2 } x } { x ^ { 3 } }

H) None of the above

Correct Answer:

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