The derived function of an exponential function is

The derived function of a composite function is

.   The derived function of a piecewise function is:

.   The derived function of a logarithmic function is:

The derived function of a trigonometric function is

.   The derived function of a power function is:

The derived function of a polynomial function is

. The derived function of a linear function is:

.   The derived function of a quadratic function is:

.   The derived function of an absolute value function is: