Derivative Calculator with step-by-step Explanations

d x
Please enter an expression. 

You can enter expressions the same way you see them in your math textbook. Implicit multiplication (5x = 5*x) is supported. If you are entering the integral from a mobile phone, you can also use ** instead of ^ for exponents.

The following variables and constants are reserved:

  • e = Euler's number, the base of the exponential function (2.718281...)
  • i = imaginary number (i² = -1)
  • pi, π = the ratio of a circle's circumference to its diameter (3.14159...)
  • phi, Φ = the golden ratio (1,6180...)

Supported differentiation rules

  • Sum rule
  • Elementary power rule
  • Constant factor rule
  • Product rule (Leibniz rule)
  • Quotient rule
  • Chain rule
  • Inverse function rule
  • Logarithmic derivatives
  • Exponential functions
  • Trigonometric functions

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