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the product rule, one gets the derivative (since the derivative of is and the derivative of the sine function is the cosine function).
*One special case of the product rule is the constant multiple rule, which states: if is a number, and is a differentiable function, then is also differentiable, and its derivative is This follows from the product rule since the derivative of any constant is zero. This, combined with the sum rule for derivatives, shows that

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