Calculus I Review
Keep
in mind that you should understand key concepts in a variety of ways:
- graphically (draw a picture
which explains it)
- algebraically (write a
formula for it)
- numerically (compute a value
for it)
- in words (write a description
of it)
Chapter 3 - Shortcuts for
differentiation
- Rules for constant multiple,
sum, difference, power rule, exponentials (also covered on last test)
- Product and Quotient Rules
- Chain Rule
- Derivatives of trig functions
- Applications of the chain
rule (derivatives of the natural log function, inverse trig functions)
- Implicit differentiation
- Finding and using tangent
lines
Chapter 4 - First and second
derivatives, optimization
- Critical points, local mins and maxes
- Possible inflection points,
inflection points
- First and second derivative
tests
- Optimization problems,
including optimization with constraints
- Related Rates
- L’Hopital’s
Rule – how to use it and when it applies