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Is this proof correct?

  1. Oct 2, 2012 #1
    1. The problem statement, all variables and given/known data

    Using the chain rule, prove that d/dx(cotx)= -csc^2x

    2. Relevant equations

    Chain rule

    3. The attempt at a solution

    Is this correct?

    Let f(x) = (x)^-1 Therefore, f'(x)= -1/(x^2)
    Let g(x) = tanx Therefore, g'(x)= sec^2x

    = -csc^2 x
  2. jcsd
  3. Oct 2, 2012 #2


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    Science Advisor

    It's not a good idea to use "x" as the variable here. Use, say, u instead:
    f(u)= u^-1 so f'= -1u^-2.

    Yes, that is a valid proof.
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