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The derivative of a function multiplied by a constant ($p$) is equal to the constant times the derivative of the function
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$p\frac{d}{dx}\left(x\sin\left(x\right)\right)$
Learn how to solve equations problems step by step online. Find the derivative of pxsin(x). The derivative of a function multiplied by a constant (p) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\sin\left(x\right). The derivative of the linear function is equal to 1. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}.