MAT1475 – Calculus 1

As announced in class, our second midterm exam (Exam #2) will be on Monday November 18. See below for a list of topics and exercises to to review.

Topics

This exam will primarily be on calculating the derivatives of various functions, as well as using the derivative to finding the equation of a tangent line at a given point.

You don’t need to memorize the various derivatives we have covered, such as the derivatives of the trig functions and the exponential/logarithmic functions. I will provide those to you on the exam and/or on the board. But you will need to know how to use them within a product rule, quotient rule, and/or chain rule (as on the HW review sheet).

In addition to working through the HW exercises I handed out in class (pdf available here), you can review the following textbook examples and WebWork exercises (we did a number of these exercises in class, so also review your class notes and/or the Class Recaps):

• Sec 3.3: Differentiation Rules
  • Examples 3.24, 3.25, 3.26, 3.27, 3.31
  • “Derivatives – Quotient Rule”: #4-10
• Sec 3.5: Derivatives of Trigonometric Functions
  • Examples 3.39, 3.40, 3.43
  • “Derivatives – Trigonometric”: #1-6
• Sec 3.6: The Chain Rule
  • Example 3.48, 3.49, 3.50, 3.52, 3.55, 3.59
  • “Derivatives – Chain Rule”: #2-4, 6, 7, 8
  • “Derivatives – Chain Rule – Part 2”: #2-9
• Sec 3.9: Derivatives of Exponential and Logarithmic Functions
  • Example 3.74, 3.75, 3.77
  • “Derivatives – Exponential”: #1-3, 6
  • “Derivatives – Logarithms”: #1-5