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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
Learn how to solve product rule of differentiation problems step by step online.
$4\frac{d}{dy}\left(\cos\left(x\right)\right)\sin\left(y\right)+\cos\left(x\right)\left(4\frac{d}{dy}\left(\sin\left(y\right)\right)+\frac{d}{dy}\left(4\right)\sin\left(y\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dy(4cos(x)sin(y)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the constant function (\cos\left(x\right)) is equal to zero. The derivative of the constant function (4) is equal to zero. Multiply 0 times 4.