Calculus/Quick Reference

This quick reference lists formulas often used in solving calculus problems.

Differentiation

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Wikipedia includes a useful summary of differentiation rules. These include rules for computing the derivatives of the sum, product, and other combinations of functions.

Rules for basic functions

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Here are the rules for the derivatives of the most common basic functions, where a is a real number.

  • Derivatives of powers:
     
  • Exponential and logarithmic functions:
     
     
     
     
  • Trigonometric functions:
     
     
     
  • Inverse trigonometric functions: