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Multiply $1$ times $\frac{1}{8}$
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$derivdef\left(\frac{1}{8}y\right)$
Learn how to solve problems step by step online. Find the derivative of 1y*1/8 using the definition. Multiply 1 times \frac{1}{8}. Find the derivative of \frac{1}{8}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}{8}y. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term \frac{1}{8} by each term of the polynomial \left(y+h\right). Simplifying.