Mastering the Chain Rule: Easy Steps to Finding the Derivative of sin(x)

Derivative of sinx

To find the derivative of sin(x), you can use the chain rule

To find the derivative of sin(x), you can use the chain rule. The chain rule states that if you have a function within another function, the derivative is the derivative of the outer function multiplied by the derivative of the inner function.

In this case, sin(x) is the outer function and x is the inner function. The derivative of the outer function sin(x) is found by taking the derivative of sine, which is cosine(x). The derivative of the inner function x is simply 1.

So using the chain rule, we have:

d/dx(sin(x)) = cos(x) * 1

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

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