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anonymous
 one year ago
find dy/dx for y = 3cos(x) + csc(x)
anonymous
 one year ago
find dy/dx for y = 3cos(x) + csc(x)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you know your derivative rules for trig functions? If not, you can find some here: http://www.sosmath.com/calculus/diff/der03/der03.html

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Heere is also a list of basic rules. This is a simple example where you have two functons added together. http://tutorial.math.lamar.edu/pdf/Common_Derivatives_Integrals.pdf

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so do i just ignore the fact that its dy/dx because the y is already isolated?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you tell me what \[\Large \frac{ dy }{ dx } 3\cos(x)= ?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok and what is \[\Large \frac{dy}{dx} \csc(x)? \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And when you get that, you add the two together. When you do a derivative of something in the dorm of \[\Large y=f(x)\] You actually have \[\Large \frac{ dy }{ dx }= f'(x)\] This is known as implicit differentiation. You will learn it later on. It is the underlying concept as to what you are doing.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So your final answer is 3sin(x)csc(x)cot(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so then its just 3sin(x)csc(x)cot(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's actually 3sin(x) + (csc(x)cot(x)) but a positive plus a minus is a minus

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you very much !!
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