Practice Problems on Derivative of cos2x

Various practice questions related to derivative of e2x are,

Q1: Find the derivative of the function f(x) = cos2(x2+4x)

Q2: Find the derivative of the function f(x) = sec2x + cos2x

Q3: Find the value of f'(x), if f(x) = cos4x

Q4: If y = cos2x – sin2x, then find the value of dy/dx.

Q5: If y = (cos2x)/x, find the value of dy/dx.

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.

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What is Derivative in Math?

Derivative of a function is the rate of change of the function to any independent variable. The derivative of a function f(x) is denoted as f′(x) or (d/dx)​[f(x)]. Derivative of trigonometric functions is easily found using various differentiations formulas....

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....

Derivative of cos2x Formula

Formula for derivative of cos2x is added below as,...

Proof of Derivative of cos2x

Formula for derivative of cos2x can be derived using any of following methods:...

Examples on Derivative of cos2x

Some examples related to derivative of cos2x are,...

Practice Problems on Derivative of cos2x

Various practice questions related to derivative of e2x are,...

FAQs on Derivative of cos2x

What is derivative?...