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 Logarithmic Function

Derivative of a Natural 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 Secant Function

Derivative of a Cosecant 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

Functional Power Rule

.Functional Power Rule

Functional Power Rule


Chain Rule

Derivative of an Implicit Function