Topics_for_the_Math_137_final - Topics for the final in...

Topics for the final in Math 137
Limits
Factoring
Squeeze Theorem
L’Hospital’s rule
Continuity
Intermediate Value Theorem
Determining minimum number of roots of a function or equation
Limit definition of the derivative
Derivatives
Power rule
Exponential rule
Product rule
Quotient rule
Chain rule
Implicit differentiation
Logarithmic differentiation
Applications of the derivative
Natural growth and decay, Newton’s cooling problems
Related rates problems
Optimization
Graph sketching