### Derivatives of basic functions

Derivatives of basic functions are the derivatives of the simplest mathematical functions, such as polynomials, and exponential functions.

The derivatives of trigonometric functions are the rates of change of the values of trigonometric functions with respect to their inputs. The derivatives of the six basic trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) can be found using calculus and are expressed in terms of other trigonometric functions. The derivatives of trigonometric functions are important in many fields, including physics, engineering, and economics, where they are used to describe the behavior of functions and systems over time. For example, in mechanics, the derivative of sine can be used to find the velocity of an object moving in a circular path, and the derivative of cosine can be used to find the acceleration.