Question

find the derivative of the following function : 3 cot x + 5 cosec x

Answer 1

F(x)=3cotx+5cosecx
F'(x)= -3cosec²x -5cotx.cosecx

Answer 2

Answer:

$f'(x)=-cosecx(3cosecx+5cotx)$

Step-by-step explanation:

The given function is:

$f(x)=3cotx+5cosecx$, we have to find the derivative of the given function.

Now, differentiating the above function with respect to x, we have

$f'(x)=3(-cosec^2x)+5(-cosecx cotx)$

$f'(x)=-3cosec^2x-5cosecx cotx$

$f'(x)=-cosecx(3cosecx+5cotx)$

which is the required result.