The Final is coming !
The Final is coming !

And what will be on the Final you Ask?????
Answer, 20 problems 10 points each.

0 points absolutely free! Y'all come!

1. Find the limit f(x) for a compound function at 4 different values of x.

2. Find the limit f(x) at a 4 different values when f(x) is given graphically.

3. Evaluate the limit P(x) / Q(x) where P and Q are polynomials as x approaches some finite number a.

4. Evaluate the limit P(x) / Q(x) where P and Q are polynomials as x approaches infinity.

5. Given f(x) = P(x) / Q(x) where P and Q are polynomials, find horizontal and vertical asymptotes.

6. State the definition of the derivative conceptually, graphically, or algebraically.

7. Given the graph of f(x), be able to draw the graph of f ' (x).

9. Find the equation of the tangent line to a given function at a specified point.

10. Differentiate functions using the power rule, product rule, quotient rule, the chain rule, implicit differentiation and log differentiation.

11. Lots of integration using all the forms you are supposed to know, subsbitution, du/u, eu, and all the derivatives of inverse trig functions.

12. One optimazition problem.

13. One related rates problem.

14. One curve sketching without calculus.

15. One curve sketching with calculus. I.e. find max, min, and inflections points and sketch.

16. One find the area of the region bounded by the given curves. p