Question

Which of the following is the derivative to f(x)=3cotx+3cscx: (answers are attached)

Answer 1

c.

Answer 2

Using,
\[(3\cot x+3 \text{csc} x)'=-3\frac{1}{\sin^2x}-3\frac{\cos x}{\sin^2x}\]
And the fact that,
\[1+\cot^2 x=\frac{1}{\sin^2x}\]you have,
\[(3\cot x+3 \text{csc} x)'=-3-3\cot^2x-3\text{csc x}\cot x\]

Answer 3

Superb! Thank you!

Answer 4

You're welcome.