Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Trigonometric differentiation

  1. Nov 8, 2006 #1
    hey I have this question and have looked it up in the text book and web sites but cant seem to find what to do!
    Any assistance would be appreciated thanks!

    Find the first derivative w.r.t the relevant variable
    5^(sin(theta))

    I am guessin the relevant variable is theta but I dont even no where to go from that!
     
  2. jcsd
  3. Nov 8, 2006 #2
    First thing is to write it as

    y = 5^sin(theta)

    Then take logs of both sides and differentiate implicitly to get dy/dtheta. :smile:
     
  4. Nov 8, 2006 #3
    haha, thats helpful! I dont know y I didnt think of that, thanks so much! Appreciate it!
     
  5. Nov 8, 2006 #4

    NateTG

    User Avatar
    Science Advisor
    Homework Helper

    Or, if you're feeling less industrious, the chain rule also works.
     
  6. Nov 8, 2006 #5

    HallsofIvy

    User Avatar
    Science Advisor

    But to use the chain rule, you have to know that the derivative of 5x is (ln(5))5x.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook