Tuesday, January 19, 2010

Midterm

In addition to limits, you should know the following:

1. Implicit differentiation (has horizontal tangents when the numerator is zero, vertical tangents when the denominator is zero)
2. Find equations of tangent lines and normal lines (normal line is perpendicular to the tangent line at the point of tangency)
3. Derivatives of exponential and logarithmic functions
4. Don't forget the chain rule, the product rule, the quotient rule!
5. Remember how to show that something is differentiable - limit must exist, must be continuous and slopes from the left and right must agree.
6. A function has a horizontal tangent when its derivative is 0. Set the derivative equal to zero and solve for x.
7. Remember limits as x approaches infinity are the same as horizontal asymptotes.

Good luck!

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