What is Derivative of Sin x?
Among the trig derivatives, the derivative of the sinx is one of the derivatives. The derivative of the sin x is cos x. The derivative of sin x is the rate of change with respect to angle i.e., x. The resultant of the derivative of sin x is cos x.
Derivative of Sin x Formula
The formula for the derivative of sin x is given by:
(d/dx) [sin x] = cos x
or
(sin x)’ = cos x
Derivative of Sin x
Derivative of Sin x is Cos x. It refers to the process of finding the change in the sine function with respect to the independent variable. This process is known as differentiation, which is one of the fundamental tools in calculus used to determine the rate of change for various functions. The specific process of finding the derivative for trigonometric functions is referred to as trigonometric differentiation, and the derivative of Sin x is one of the key results in trigonometric differentiation.
In this article, we will learn about the derivative of sin x and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule as well. Other than that, we have also provided some solved examples for better understanding and answered some FAQs on derivatives of sin x as well. Let’s start our learning on the topic Derivative of Sin x.
Table of Content
- Derivative in Math
- What is Derivative of Sin x?
- Proof of Derivative of Sin x
- Solved Examples
- Practice Questions