Understanding the Chain Rule: Finding the Derivative of f(x) = sin(x)

d/dx sinx

To find the derivative of the function f(x) = sin(x), we use the chain rule

To find the derivative of the function f(x) = sin(x), we use the chain rule. The chain rule states that if we have a composite function f(g(x)), the derivative of f(g(x)) with respect to x is given by the derivative of f with respect to g multiplied by the derivative of g with respect to x.

In this case, our function f(x) is sin(x). The derivative of sin(x) with respect to x is denoted as d/dx sin(x).

To find d/dx sin(x), we need to differentiate sin(x) with respect to x. The derivative of sin(x) is cos(x). Therefore, d/dx sin(x) = cos(x).

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

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