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Multiply the single term $y^2$ by each term of the polynomial $\left(2x-y\right)$
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$derivdef\left(2xy^2-y\cdot y^2\right)$
Learn how to solve problems step by step online. Find the derivative of x^3(x+y)=y^2(2x-y) using the definition. Multiply the single term y^2 by each term of the polynomial \left(2x-y\right). When multiplying exponents with same base you can add the exponents: -y\cdot y^2. Find the derivative of 2xy^2-y^{3} using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 2xy^2-y^{3}. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(2xy^2-y^{3}\right).