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