Education.com
Try
Brainzy
Try
Plus

Differentiation Rapid Review for AP Calculus

By — McGraw-Hill Professional
Updated on Oct 24, 2011

Review the following concepts if needed:

Review Problems and Answers

  • If y = ex3, find
    Answer: Using the chain rule, = (ex3) (3x2).
  • Evaluate .
    Answer: .
  • Find f' (x) if f ' (x) = ln(3x).
    Answer: .
  • Find the approximate value of f ' (3). (See Figure 6.8-1.)

Rapid Review

    Answer: Using the slope of the line segment joining (2, 1) and (4, 3), .
  • Find if xy = 5x2.
    Answer: Using implicit differentiation, . Or simply solve for y leading to y = 5x and thus, = 5.
  • .
    Answer: .
  • Using a calculator, write an equation of the line tangent to the graph f (x) = –2x4 at the point where f '(x) = –1.
    Answer: f '(x) = –8x3. Using a calculator, enter [Solve] [–8x^3 = –1, x] and obtain . Using the calculator . Thus, tangent is .
    Answer:
    Answer:
Add your own comment

Ask a Question

Have questions about this article or topic? Ask
Ask
150 Characters allowed