Derivative of sin x
The derivative of the function sin(x) can be found using the chain rule of differentiation
The derivative of the function sin(x) can be found using the chain rule of differentiation. The chain rule states that if we have a composite function, such as sin(x), we need to take the derivative of the outer function (in this case, sin) and multiply it by the derivative of the inner function (in this case, x).
The derivative of sin(x) can be calculated as follows:
d/dx(sin(x)) = cos(x) * d/dx(x)
Since the derivative of x with respect to x is simply 1, we can simplify the expression to:
d/dx(sin(x)) = cos(x)
So, the derivative of sin(x) is cos(x).
In other words, the rate of change of the sine function is equal to the cosine function. This means that for any value of x, the slope of the tangent line to the sine curve at that point is equal to the value of the cosine function at that same point.
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