How to Find the Derivative of the Sine Function | Step-By-Step Guide and Trigonometric Derivative Rule

d/dx sinx

To find the derivative of the function f(x) = sin(x), we can use the derivative rules and techniques for trigonometric functions

To find the derivative of the function f(x) = sin(x), we can use the derivative rules and techniques for trigonometric functions.

The derivative (d/dx) of sin(x) can be found by considering the following steps:

1. Start with the function f(x) = sin(x).

2. Apply the derivative rule for trigonometric functions:
The derivative of sin(x) is equal to the cosine function, i.e., d/dx sin(x) = cos(x).

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

This means that for any value of x, the rate of change of the sine function is equivalent to the value of the cosine function at that point.

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