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Reference Sheet - Derivatives and Integrals

Reference Sheet - Derivatives and Integrals
Reference Sheet - Derivatives and Integrals
Reference Sheet - Derivatives and Integrals
Reference Sheet - Derivatives and Integrals
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A simplified version of those lengthy derivative and integral tables in textbooks. Students can keep this reference sheet in their notebook and fill it in a bit at a time throughout the course.

Page 1 has a list of major derivatives and derivative rules, and page 2 has a list of important integrals. On the integrals page, dashed lines indicate integral rules that directly follow from derivative rules (e.g., the derivative of sin(x) is cos(x), so the antiderivative of cos(x) is sin(x). ) to emphasize that these are not additional rules to be learned.

Derivatives:
- Basics (product, quotient, power, chain)
- Logarithmic and exponential functions
- Trigonometric functions
- Inverse trigonometric functions

Integrals:
- Basics (constant multiple rule and power rule)
- Logarithmic and exponential functions
- Trigonometric functions
- Inverse trigonometric functions

Note: This file is intended for Calclus AB but can be easily changed to apply to other courses. It has a space for the antiderivative of ln(x), but no space for the answer as finding it requires integration by parts, which is not part of the Calculus AB curriculum. However, the "not in Calc AB" note can easily be removed to leave a space for this answer.
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