d/dx[sinx]
To find the derivative of the function f(x) = sin(x), we can use the chain rule
To find the derivative of the function f(x) = sin(x), we can use the chain rule.
The chain rule states that if we have a composite function g(f(x)), where g(u) and f(x) are both differentiable functions, then the derivative can be calculated as:
(g(f(x)))’ = g'(u) * f'(x),
In this case, g(u) = sin(u) and f(x) = x.
So, we can rewrite the original function as f(x) = sin(x). Therefore, g(u) = sin(u) and f(x) = x.
Taking the derivative of sin(u) with respect to u gives us cos(u):
d/dx[sin(x)] = cos(x).
Therefore, the derivative of sin(x) is cos(x).
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