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

1. anonymous

Do you know your derivative rules for trig functions? If not, you can find some here: http://www.sosmath.com/calculus/diff/der03/der03.html

2. anonymous

Heere 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

3. anonymous

okay so do i just ignore the fact that its dy/dx because the y is already isolated?

4. anonymous

Can you tell me what $\Large \frac{ dy }{ dx } 3\cos(x)= ?$

5. anonymous

-3sin(x)

6. anonymous

Ok and what is $\Large \frac{dy}{dx} \csc(x)?$

7. anonymous

-csc(x)cot(x)

8. anonymous

And 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.

9. anonymous

10. anonymous

okay so then its just -3sin(x)-csc(x)cot(x)

11. anonymous

It's actually -3sin(x) + (-csc(x)cot(x)) but a positive plus a minus is a minus

12. anonymous

thank you very much !!

13. anonymous

Great job! Np