REVIEW SHEET FOR TEST 2

Take the practice test at www4.ncsu.edu/~lakurtz/141.html

• 2.7 The Derivative as a Function

-Know the definition of a derivative (box 2 on p. 146); You will be asked to write this down precisely.

-Make sure you can use the definition to find the derivative of various functions

p. 156 #19, 23, 25, 27 http://www4.ncsu.edu/~lakurtz/DefinitionDerivativeWS.pdf

-Find where a function is not differentiable p. 157 #35,37

• 2.8 What Does f’ say about f?

-Be able to look at a graph of f and tell whether f’(x), f’’(x)>0 or not.

-Be able to look at a graph of f’ and tell whether f(x) is increasing/decreasing and if f’’(x)>0 or not.

-Examples p. 162 #1,3,5

• 3.1 Derivatives of Polynomials and Exponential Functions

- p. 181 # 3,5,7,9,13,15

• 3.2 The Product and Quotient Rules

- p. 189 #3,7,11,21

• 3.3 Derivatives of Trigonometric Functions

-Know the chart on p. 194

-Be able to find the derivatives of tan, sec, csc, cot using the quotient rule

-p. 195 #1,5,9

• 3.4 The Chain Rule

- p. 205 # 7,9,15,21, 23, 25, 31, 37,41

• 3.5 Implicit Differentiation

-Be able to find an equation of a tangent line ex p. 214 #21,23,25

-p. 214 #5, 11, 13

• 3.6 Inverse Trig Functions and Their Derivatives

-Know the derivative of inverse tan and inverse sine

-p. 220 #17,19,35

• 3.7 Derivatives of Logarithmic Functions

-p. 226 #3,5,7,15

-Be able to use logarithmic differentiation ex p. 226 #33, 35, 37, 39

MISCELLANEOUS PROBLEMS p. 248 Concept Check #1,2

“COMMON” MATH KNOWLEDGE TO KNOW FOR THE TEST: sin, cos of 0, Pi/2, Pi, 2Pi, etc. sin²(x)+cos²(x)=1