𝑑/𝑑𝑥[sin 𝑥]
To differentiate sin(x) with respect to x, we can use the derivative rules
To differentiate sin(x) with respect to x, we can use the derivative rules. The derivative of sin(x) can be found using the chain rule.
The chain rule states that if we have a function f(g(x)), then its derivative is given by f'(g(x)) * g'(x). In this case, our function f(x) is sin(x) and g(x) is x.
Applying the chain rule to sin(x), we have:
d/dx[sin(x)] = cos(x) * d/dx[x]
The derivative of x with respect to x is simply 1, so we can substitute this in:
d/dx[sin(x)] = cos(x) * 1
Therefore, the derivative of sin(x) with respect to x is cos(x).
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