This is a differentiation rule used for finding derivatives of composite functions.

The derivative of e^x, solved using:

The derivative of a constant is:

1551.   The derivative of $\cos x$  is:

  The derivative of ax, where a is a constant, is solved using:

The derivative of $\ln x$ , solved using:

   This is a differentiation rule used for finding derivatives of the product of two functions.

1551.   The derivative of $\tan x$  is:

The derivative of $\sin x$ is:

   This is a differentiation rule used for finding derivatives of the ratio of two functions.