Find the derivative of the function.
y = ln(|csc(3x)|)

Question

Find the derivative of the function. 
y = ln(|csc(3x)|)

anonymous · Answer

You have to use chain rule to solve this.

anonymous · Answer

$$\frac{d}{dx}\ln(f(x))=\frac{f'(x)}{f(x)}$$

anonymous · Answer

-3 / (csc(3x)) * csc(3x)cot(3x)...I'm I right satellite?

anonymous · Answer

$$f(x)=\csc(3x),f'(x)=-3\csc(3x)\cot(3x)$$

anonymous · Answer

@nayadddo f' is in the numerator and f is in the denominator

anonymous · Answer

oh maybe you are right when you are done.  you are faster than i am hold on

anonymous · Answer

Yeah that's what I meant what math type do you use to answer questions..is it the equation that they offer on this site?

dumbcow · Answer

should end up with -3cot(3x) i believe

anonymous · Answer

$$\frac{-3\csc(3x)\cot(3x)}{\csc(3x)}$$ is a start

anonymous · Answer

yeah

anonymous · Answer

but i hate all these reciprocal trig functions so if you write everything out in terms of sine and cosine it will be much nicer.

anonymous · Answer

evidently the cosecants cancel, leaving you with 
$$-3\cot(3x)$$ maybe best to leave it at that

anonymous · Answer

-3cot(3x)?

anonymous · Answer

yes

anonymous · Answer

Satellite I have a question when x ix 0 it seems like the derivative is undefined for both csc(3x) and cot(3x) so can we still divide csc(3x) / csc(3x)...just wondering..