Derivative of Sin x FAQs

What is Derivative?

The derivative of the function is defined as the rate of change of the function with respect to a variable.

Write the Formula for Derivative of Sin x.

The formula for derivative of sin x is:

(d/dx) sin x = cos x

What is the Derivative of Sin (-x)?

Derivative of sin (-x) is -cos (-x) or -cos x.

What are the Different Methods to Prove Derivative of Sin x?

The different methods to prove derivative of sin x are:

• By using First Principle of Derivative
• By Quotient Rule
• By Chain Rule

What is the Derivative of Negative Sin x?

Derivative of negative sin x i.e., -sin x; is -cos x.

What is Derivative of Cos x?

Derivative of cos x -sin x.

What is the Derivative of 2 sin x?

Derivative of 2 sin x is 2 cos x.

What is the Derivative of Tan x?

Derivative of tan x is sec² 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.