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Derivative of $$$3 \sin{\left(x \right)}$$$
The calculator will find the derivative of $$$3 \sin{\left(x \right)}$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the constant multiple rule $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$ with $$$c = 3$$$ and $$$f{\left(x \right)} = \sin{\left(x \right)}$$$:
$${\color{red}\left(\frac{d}{dx} \left(3 \sin{\left(x \right)}\right)\right)} = {\color{red}\left(3 \frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)}$$The derivative of the sine is $$$\frac{d}{dx} \left(\sin{\left(x \right)}\right) = \cos{\left(x \right)}$$$:
$$3 {\color{red}\left(\frac{d}{dx} \left(\sin{\left(x \right)}\right)\right)} = 3 {\color{red}\left(\cos{\left(x \right)}\right)}$$Thus, $$$\frac{d}{dx} \left(3 \sin{\left(x \right)}\right) = 3 \cos{\left(x \right)}$$$.
Answer
$$$\frac{d}{dx} \left(3 \sin{\left(x \right)}\right) = 3 \cos{\left(x \right)}$$$A