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The derivative of f(x) = (3 x + 2 "sin" ...

The derivative of `f(x) = (3 x + 2 "sin" x)/(x + 5 cos x)` is

A

`(cos x (2x + 15) + 10 + "sin" x (15x - 2))/((x + 5 cos x)^(2))`

B

`((cos x + 10)("sin" x - 15))/((x + 5 cos x)^(2))`

C

`(cos x (2x + 16) + 15 + "sin" x)/((x 5 cos x)^(2))`

D

`((2x + 15) (15 + "sin" x))/((x + 5 cos x)^(2))`

Text Solution

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The correct Answer is:
A
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