To find the derivative of sin(x) with respect to x, we can use the chain rule.
Let y = sin(x).
Using the chain rule, the derivative of sin(x) with respect to x, denoted as dy/dx or sin'(x), is calculated as follows:
dy/dx = cos(x) * dx/dx
Since dx/dx is equal to 1, we can simplify the expression:
dy/dx = cos(x) * 1
So, the derivative of sin(x) with respect to x is cos(x).
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