derivative of sin(x)
To find the derivative of sin(x), we can use the basic differentiation rules
To find the derivative of sin(x), we can use the basic differentiation rules.
The derivative of sin(x) is written as d/dx(sin(x)) or sin'(x).
Using the chain rule, which states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function, we have:
d/dx(sin(x)) = cos(x) * d/dx(x)
However, the derivative of x with respect to x is simply 1, so we can simplify the equation to:
d/dx(sin(x)) = cos(x)
Therefore, the derivative of sin(x) is cos(x).
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