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The Derivative of CSC^2 u

  • Thread starter racer
  • Start date
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1. Homework Statement

the derivative of CSC u is CSC u times cot u times the derivative of the u
but how can I derive CSC^2 u?


2. The attempt at a solution


CSC^2 u is (CSC u)^2

The derivative is
2(CSC u)(CSC u times Cot u)(1)

another way

CSC^2 u = CSC u times CSC u
CSC u times ( CSC u Cot u )(1) + CSC u ( CSC u Cot u)(1)

Is it correct?
 

Answers and Replies

tiny-tim
Science Advisor
Homework Helper
25,789
249
Hi racer! :smile:

Yes they're both right!

(d/du)cosec^2(u) = 2cosec^2(u)cot(u).

You used both substitution and the product rule … they both work in this case, and either is fine. :smile:

(Though personally, I'd always go for substitution.)
 

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