d/dx [sin x]
To find the derivative of the function f(x) = sin(x) with respect to x, we can use the chain rule
To find the derivative of the function f(x) = sin(x) with respect to x, we can use the chain rule.
The chain rule states that if we have a composite function g(f(x)), where g(x) and f(x) are both differentiable, then the derivative of g(f(x)) with respect to x is given by g'(f(x)) * f'(x).
In this case, our composite function is sin(x). We need to find the derivative of sin(x) with respect to x.
The derivative of sin(x) is given by:
d/dx [sin(x)] = cos(x)
So, the derivative of the function f(x) = sin(x) with respect to x is f'(x) = cos(x).
Therefore, d/dx [sin(x)] = cos(x).
To summarize, the derivative of sin(x) with respect to x is cos(x).
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