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Combining like terms $\frac{1}{2}y$ and $-y$
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$derivdef\left(-\frac{1}{2}y\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 1/2y-y using the definition. Combining like terms \frac{1}{2}y and -y. Find the derivative of -\frac{1}{2}y 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 -\frac{1}{2}y. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -\frac{1}{2} by each term of the polynomial \left(y+h\right). Simplifying.