Differentiation

Question

Differentiate the following with respect to x.

cos(x+π)/sin3x

 

Ans: [sin(x+π)sin3x +3cos(x+π)cos3x]/ sin²3x

 

Thank you! :)

Answer 1

The given answer is wrong.

 

The solution is as follows-----

 

On differentiating the given function-----

 

[Sin(3x)[-sin(x+pi)]-[cos(x+pi)*3*cos(3x)]]/(sin(3x)^2)

 

On simplifying

 

-[sin(x+pi)/sin(3x)]- [3cos(3x)*cos(x+pi)/(sin(3x)^2)

 

[-sin(x+pi)*sin(3x)-3cos(3x)*cos(x+pi)]/(sin(3x)^2)