The Derivative of Sin(x) Explained: Basic Differentiation Rules for Finding the Derivative of the Sine Function

Derivitave of sinx

The derivative of sin(x) can be found using basic differentiation rules

The derivative of sin(x) can be found using basic differentiation rules.

First, it’s important to note that sin(x) represents the sine function. The sine function is a periodic function that oscillates between -1 and 1 as x varies.

To find the derivative of sin(x), we can use the chain rule. The chain rule states that if we have a composite function, such as sin(x), and we want to find its derivative, we need to differentiate the outer function and multiply it by the derivative of the inner function.

In this case, the outer function is sin(x) and the inner function is x. The derivative of the inner function, dx/dx, is simply 1.

Now, let’s find the derivative of the outer function, sin(x). The derivative of sin(x) is found by taking the derivative of the sine function, which is cosine.

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

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

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