d/dx(sinx)
To find the derivative of sin(x), we can use the chain rule
To find the derivative of sin(x), we can use the chain rule. The chain rule states that if we have a function g(f(x)), then the derivative of g(f(x)) with respect to x is equal to the derivative of g with respect to f(x) multiplied by the derivative of f(x) with respect to x.
In this case, we have g(x) = sin(x). The derivative of sin(x) with respect to x is cos(x).
Therefore, using the chain rule, the derivative of sin(x) with respect to x is equal to the derivative of sin(x) (which is cos(x)) multiplied by the derivative of x with respect to x, which is 1.
So, d/dx(sin(x)) = cos(x) * 1 = cos(x).
Therefore, the derivative of sin(x) with respect to x is equal to cos(x).
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