This calculus video tutorial explains how to calculate the first and second derivative using implicit differentiation. This video contains plenty of examples and practice problems that include trig functions.

Here is a list of topics:

1. Implicit Differentiation - Two Variables x and y

2. How To Calculate dy/dx and d^2y/dx^2

3. Product Rule and Quotient Rule

4. Chain Rule and Derivatives of Trigonometric Functions

5. x^3+y^3=1

6. x^3-xy+y^2=4

7. sqrt(x)+sqrt(y)=9

8. cos(xy)=1+siny

9. sin(x+y)=2x-2y

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