Finding the Derivative of the Sine Function | A Step-by-Step Guide

d/dx sin x

To find the derivative of the function f(x) = sin(x), we use the derivative rules

To find the derivative of the function f(x) = sin(x), we use the derivative rules.

The derivative of sine function, denoted as d/dx sin(x) or f'(x), can be found by applying the chain rule.

First, let’s recall the derivative of the function f(x) = sin(x). By definition, the derivative of sin(x) is:

f'(x) = cos(x)

So, d/dx sin(x) is equal to cos(x).

In other words, the rate of change of the sine function at any point x is given by the cosine function evaluated at that same point x.

Therefore, the derivative of sin(x) is cos(x).

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