Common Calculus Mistakes ~ Education With Success

Common Calculus Mistakes

Friday, August 28, 2009 9:23 PM

Posted by NAZIM

Labels: Common Calculus Mistakes

Real Mistakes from Real Student Work Find the calculus mistakes in these examples and read plain language explanations so you can avoid making these same mistakes yourself!
Limits Example 1 Example 2 (l'Hôpital's rule) Example 3 (l'Hôpital's rule) Example 4 (l'Hôpital's rule) Limit Definition of the Derivative (also see the f(a+h) and f(x+h) Examples in the "Function Notation" section of Common Algebra Mistakes) Example 1 Power Rule Example 1 Example 2 Example 3 (with parameters) Derivatives of: Exponential Functions Example 1 Example 2 Trigonometric Functions Example 1 (Secant) Inverse Trigonometric Functions Example 1 (Inverse sine) Example 2 (Inverse tangent) Hyperbolic Functions Example 1 (Hyperbolic cosine) Example 2 (Hyperbolic sine)	Derivative Rules: Sum Rule Example 1 (Constants) Product Rule Example 1 (Constant Multiple) Example 2 (Constants) Example 3 (Constants) Quotient Rule Example 1 Example 2 Example 3 Example 4 Example 5 Chain Rule Example 1 (Power Rule) Example 2 (Power Rule) Example 3 (Power Rule) Example 4 (Power Rule) Example 5 (Cosine) Example 6 (Inverse sine) Example 7 (Inverse sine) Example 8 (Inverse tangent) Example 9 (Exponential) Example 10 (Exponential) Example 11 (Natural Logarithm) Example 12 (Natural Logarithm) Example 13 (Compound Chain Rule) Example 14 (Compound Chain Rule)	Tangent Lines Example 1 Implicit Differentiation Example 1 Example 2 Indefinite Integrals (Antiderivatives) Example 1 (Exponential) Example 2 (Sine) Example 3 (Cosine) Definite Integrals Example 1 Area Under a Curve or Between Curves Example 1 Derivative of an Integral Example 1 Multivariable Calculus Partial Derivatives Example 1 (Quotient Rule) Example 2 (Tangent)
Don't forget to also visit Common Algebra Mistakes and Common Trigonometry Mistakes (many of those mistakes were made by calculus students).
More examples will be added, so be sure to come back and visit again soon.
Also visit Calculus Facts Flashcards and other resources
Now available: common calculus mistakes t-shirt displays mistakes from this list. It's a great gift for students and teachers.

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