# Derivative Formulas

** u and v are functions of x.**

** a, e and k are constants (real numbers)**

#### Derivative of a Constant

#### Derivative of Constant Multiple

#### Derivative of x

#### Power Rule

#### Derivative of a Root

#### Derivative of a Sum or Difference

#### Product Rule

#### Quotient Rule

#### Reciprocal Rule

#### Derivative of an Exponential Function

#### Derivative of a Logarithmic Function

#### Derivative of a Sine Function

#### Derivative of a Cosine Function

#### Derivative of a Tangent Function

#### Derivative of a Cotangent Function

#### Derivative of a Secant Function

#### Derivative of a Cosecant Function

#### Derivative of an Arcsine

#### Derivative of an Arccosine

#### Derivative of an Arctangent

#### Derivative of an Arccotangent

#### Derivative of an Arcsecant

#### Derivative of an Arccosecant

#### Functional Power Rule

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#### Chain Rule

#### Derivative of an Implicit Function