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Cancel like terms $x$ and $-x$
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$derivdef\left(\frac{1+y}{-x+y+x+1}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x+1y-x)/(-x+yx+1) using the definition. Cancel like terms x and -x. Cancel like terms -x and x. Simplify the fraction \frac{1+y}{y+1} by 1+y. Find the derivative of 1 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 1. Substituting f(x+h) and f(x) on the limit, we get.