Math 113 handouts	ExtrA PRActice
Make sure that the graph is meaningful. Label the axis, important properties and points on the graph.
Collection of problems on chapter 1: Functions, Graphs, and Limits chapter 1	Review on evaluation, graphing and solving Function notation Composition of functions
	Extra practice section 1.5 (algebraic approach) with solutions. Try #1, 2, 3, 5, 10, 11, 14, 15. More limits problems with solutions. Try #1, 3, 7, 8.
	Extra practice section 1.6 with solutions. Try #1, 2, 3, 4, 5, 6, 12. More problems on 1.6 Try #1, 2, 3, 6.
Section 2.1 The Derivative (Limit definition) Section 2.2 Some Rules for Differentiation	Extra problems on definition of the derivative Try # 1, 2, 3, 8 More problems on 2.1 You can try all problems.
Section 2.4 The Product and Quotient Rule	Tutorial on Product and Quotient Rule Extra problems Product Rule . Try number 1 and 2. Product Rule Try number 3, 4, 5, 7, 9 Extra problems Quotient Rule. Try number 1, 2, 3. Quotient Rule Try number 1, 2, 4, 5, 9.
Section 2.5 The Chain Rule	Tutorial on Chain Rule Examples 1, 4b and 5b. Extra problems Chain Rule. Try number 1, 2, 3, 4, 5, 16 More problems Chain Rule Try number 11 and 13. Chain Rule Try number 8, 11, 12, 13, 16.
Section 2.6 Higher Order Derivatives
Section 2.7 Implicit Differentiation	Tutorial Implicit Differentiation Examples 1, 2, 3, 4a Implicit Differentiation Try numbers 1, 2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16.
Section 2.8 Related Rates	Tutorial Related Rates Examples 1 and 2.
Section 3.1 Increasing/Decreasing Functions and Critical Numbers	Tutorial on Critical Numbers Examples 1, 2, 3 First Derivative Test Try # 1, 2, 3, 7, 8, 10 Increasing and Decreasing Functions Examples 1, 2, 3
Section 3.2 Relative and Absolute Extrema	Tutorial on Minima and Maxima Examples 1, 2, 3, 4,5 Tutorial Absolute Etrema Examples 1, 2, 5 Maxima and Minima on closed intervals Try #1, 2, 4, 5, 9
Section 3.3 Concavity, Inflection Points	Inflection Points and Concavity Try # 1, 2, 3, 7, 8, 10 Tutorial Inflection Points and Second Derivative Test Examples 1, 2, 2, 3
Section 3.4 Review -Functions Section 3.4 Optimization	Area of a rectangle inscribed in a semicircle Tutorial Optimization More Optimization Try number 1, 2, 3, 4, 5, 8 Max/Min Problems Try # 1-8, 10, 12, 13
Section 3.6 Review -Graphing Functions Section 3.6 Asymptotes
Section 3.7 Graphing	Graphing Try number 1, 2, 3, 4, 5, 6, 7, 10
	Tutorial Exponential and Logarithmic Functions
Section 4.3 Derivatives of Exponential Functions	Derivatives of Exponential Functions Try numbers 1, 2, 6, 8, 10 More Exponential Functions Try # 3, 6, 7, 8, 10 Implicit Exponential Try number 8 Try number 4 Try number 5
Section 4.5 Derivatives of Logarithmic Functions	Extra Practice Try number 2 and 6 Try number 3 and 6 Try number 7 and 10 Tutorial Example 1b, c, 2
Section 4.3 and 4.5 Graphing Exponential and Logarithmic Functions	Tutorial Critical Points Example 5, 6, 7 Try numbers 4, 5, 9 Concavity number 4, 5, 9 Example 5
Section 5.1 Indefinite Integrals	Example 1 a-f
Section 5.2 The General Power Rule	Example 1c, e and 2 c, d Substitution Try number 1, 2, 3, 4, 5, 8, 10, 15.
Section 5.3 Logarithmic and Exponential Integrals	Extra Practice Try numbers 1, 3, 7, 9
Section 5.4 Definite Integrals and Areas Section 5.5 Areas	Tutorial Area Between Curves Examples 1, 2, 3, 4 Area between two curves-tutorial Examples 1, 2, 3, 4, 5, 6 Area between two curves Try 1, 3, 4, 5, 6, 7, 10 Substitution Rule Definite Integral Try 1,2a-c, 3b, e, 4a
Section 6.1 Substitution	Tutorial Substitution Examples 2, 3, 5 Substitution Try number 14 and 17.
Section 6.2 Integration by Parts	Tutorial Integration by Parts Examples 2 and 3
	Improper Integrals Try number1, 2, 3, 4, 6, 7,10