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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 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)
Power Rule Derivatives of:

Exponential Functions Trigonometric Functions Inverse Trigonometric Functions Hyperbolic Functions

Derivative Rules:

Sum Rule Product Rule Quotient Rule Chain Rule

Tangent Lines Implicit Differentiation Indefinite Integrals (Antiderivatives) Definite Integrals Area Under a Curve or Between Curves Derivative of an Integral Multivariable Calculus

Partial Derivatives

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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