d/dx(sinx)
cosx
To find the derivative of sin(x) with respect to x, we can use the chain rule of differentiation.
The chain rule states that if we have a composite function, expressed as f(g(x)), then the derivative of f(g(x)) with respect to x is given by:
(f(g(x)))’ = f'(g(x)) * g'(x)
In this case, f(x) = sin(x) and g(x) = x. So, applying the chain rule, we have:
(d/dx)(sin(x)) = cos(x) * (d/dx)(x) = cos(x)
Therefore, the derivative of sin(x) with respect to x is equal to cos(x).
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