Sum rule:

Product rule:

Reciprocal rule:

Quotient rule:

Power rule:

Chain rule:

Inverse function rule:

Natural exponential rule:

Natural logarithm rule:

Exponential rule:

Logarithm rule:

Derivatives of the Trigonometric Functions

Inverse sine rule:

Inverse cosine rule:

Inverse tangent rule:

Derivative of advanced operators:

Derivative of function equations:

Derivative of statistical function:

n-dimensional hyper-surface area of (n+1)-dimensional frustum of hyper-cone:

When h tends to zero: