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** Step-by-step Solution **

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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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The derivative of a sum of two or more functions is the sum of the derivatives of each function

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$\frac{d}{dy}\left(e^{2y}\right)+\frac{d}{dy}\left(-y\cos\left(xy\right)\right)$

Learn how to solve problems step by step online. Find the derivative d/dy(e^(2y)-ycos(xy)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant 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=. Simplify the product -(\frac{d}{dy}\left(y\right)\cos\left(xy\right)+y\frac{d}{dy}\left(\cos\left(xy\right)\right)).

** Final answer to the problem

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