What is Derivative of Cos2x?
Derivative of cos2x is -2cosxsinx. Cos2x is a composite function involving an algebraic operation on a trigonometric function. Derivative of a function gives the rate of change in the functional value for the input variable, i.e. x.
In chain rule, if we need to find the derivative of f(g(x)), it is given as f'(g(x)) × g'(x). The chain rule is one of the most fundamental and used concepts in differential calculus. Formula for the derivative of cos2x can be written as follows:
Derivative of Cos Square x
Derivative of cos2x is (-2cosxsinx) which is equal to (-sin 2x). Cos2x is square of trigonometric function cos x. Derivative refers to the process of finding the change in the cos2x function with respect to the independent variable.
In this article, we will discuss the derivative of cos2x with various methods to find it including the first principle of differentiation, chain rule, and the product rule, solved examples, and some practice problems on it.