Derivative Rules


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

u and v are functions.

Derivative of a Constant

Derivative of a Constant

Derivative of Constant Multiple

Derivative of Constant Multiple

Derivative of x

Derivative of Constant Multiple

Power Rule

Power Rule

Derivative of a Root

Derivative of a Root

Derivative of a Root

Derivative of a Sum or Difference

Derivative of a Sum or Difference

Product Rule

Product Rule

Quotient Rule

Quotient Rule

Quotient Rule

Reciprocal Rule

Reciprocal Rule

Derivative of an Exponential Function

Derivative of an Exponential Function

Derivative of an Exponential Function

Derivative of a Logarithmic Function

Derivative of a Logarithmic Function

Derivative of a Logarithmic Function


Derivative of a Sine Function

Derivative of a Sine Function

Derivative of a Cosine Function

Derivative of a Cosine Function

Derivative of a Tangent Function

Derivative of a Tangent Function

Derivative of a Cotangent Function

Derivative of a Cotangent Function

Derivative of a Secant Function

Derivative of a Secant Function

Derivative of a Cosecant Function

Derivative of a Cosecant Function

Derivative of an Arcsine

Derivative of an Arcsine

Derivative of an Arccosine

Derivative of an Arccosine

Derivative of an Arctangent

Derivative of an Arctangent

Derivative of an Arccotangent

Derivative of an Arccotangent

Derivative of an Arcsecant

Derivative of an Arcsecant

Derivative of an Arccosecant

Derivative of an Arccosecant

Functional Power Rule

Functional Power Rule

.Functional Power Rule

Functional Power Rule


Chain Rule

Chain Rule

Derivative of an Implicit Function

Derivative of an Implicit Function