d/dx (sin x)
To find the derivative of sin(x) with respect to x, you can use the chain rule
To find the derivative of sin(x) with respect to x, you can use the chain rule. The chain rule states that if you have a composite function f(g(x)), then the derivative of f(g(x)) with respect to x is given by:
d/dx [f(g(x))] = f'(g(x)) * g'(x)
In this case, f(x) = sin(x), so f'(x) is the derivative of sin(x), which is cos(x). And g(x) = x, so g'(x) is the derivative of x, which is 1.
Now, applying the chain rule to find the derivative of sin(x) with respect to x:
d/dx (sin x) = cos(x) * 1
Simplifying, we have:
d/dx (sin x) = cos(x)
Therefore, the derivative of sin(x) with respect to x is cos(x).
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