Asked by hannah
How do you find the derivative of (6 csc x)/x?
Answers
Answered by
Jai
[ low*d(high) - high*d(low) ] / (low)^2
where
high = numerator
low = denominator
d(high) and d(low) = respective derivatives
first recall that the derivative of csc x = -(cot x)(csc x)
therefore,
[ x*(-6 (cot x)(csc x)) - 6 (csc x) ]/x^2
or
-(6 csc x)*(x(cot x) + 1)/x^2
hope this helps~ :)
where
high = numerator
low = denominator
d(high) and d(low) = respective derivatives
first recall that the derivative of csc x = -(cot x)(csc x)
therefore,
[ x*(-6 (cot x)(csc x)) - 6 (csc x) ]/x^2
or
-(6 csc x)*(x(cot x) + 1)/x^2
hope this helps~ :)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.