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Multiply the single term $y$ by each term of the polynomial $\left(1-2y\right)$
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$derivdef\left(y-2y\cdot y\right)$
Learn how to solve problems step by step online. Find the derivative of xy=y(1-2y) using the definition. Multiply the single term y by each term of the polynomial \left(1-2y\right). When multiplying two powers that have the same base (y), you can add the exponents. Find the derivative of y-2y^2 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 y-2y^2. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(y-2y^2\right).