Understanding the Chain Rule: Finding the Derivative of sin(x) with Respect to x

Dx {sin x}=?

To determine the derivative of the function sin(x), we can use the chain rule

To determine the derivative of the function sin(x), we can use the chain rule. The chain rule states that if we have a function within another function, the derivative is the derivative of the outer function times the derivative of the inner function.

The derivative of sin(x) with respect to x can be written as dx(sin(x)). Applying the chain rule, we take the derivative of the outer function (sin(x)), which is cos(x), and multiply it by the derivative of the inner function (x), which is 1.

Therefore, we have dx(sin(x)) = cos(x).

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

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