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Chapter 8 TEST – AP Calculus BC Name:

Part A No Calculator

1. Particle in Motion – given parametric equations, find the speed of the particle.

2. Given f, graph f’.

3. Area of Polar Functions.

4. Understanding limits and the limit notation of the derivative formula.

5. Length of a curve.

6. Partial Fractions.

7. Derivative of a Composition function using f (x) and g (x).

8. Find the slope of a tangent line of a polar curve at a given theta.

9. Particle in Motion – given position, find velocity at time, t, and describe it’s motion (ie up, down, right, or left).

10. Use the quotient rule to find slope of the tangent line.

11. Implicit differentiation.

12. Finding intervals of increase or decrease from an integral function. Use 2nd FTC, then wiggle graph.

13. Derivative of the Inverse of a function.

14. L’hopital’s Rule by first re-writing so you have the indeterminate form 0/0.

15. u-substitution.

16. Find a Reimann sum (Let, Right, Trap, or Mid rules) with different ∆x.

17. Euler’s Method.

18. Find indefinite integral of exponential function and contants.

19. L’hopital’s rule.

20. Find the second derivative, [pic], from parametric equations.

21. Separation of Variables.

22. Evaluate a limit expression in the form of the derivative. Either apply L’hopital’s Rule or convert to taking the derivative of a function.

23. FTC, but looks different since instead of using the notation, [pic], it uses [pic].

24. Taking the derivative of an Integral Function, ie 2nd FTC.

25. Another FTC using the notation [pic] but the antiderivative is harder (eg u-sustitution, integration by parts, separation of variables etc).

26. Improper Integrals.

27. Find horizontal and vertical asymptotes of rational functions.

28. Another taking the derivative of an Integral Function, ie 2nd FTC.

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