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The derivative of a function multiplied by a constant ($4$) is equal to the constant times the derivative of the function
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$4\frac{d}{dy}\left(\sin\left(y\right)\cos\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 4cos(x)sin(y). The derivative of a function multiplied by a constant (4) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (\cos\left(x\right)) is equal to the constant times the derivative of the function. 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)}.