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Divide $250$ by $250$
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$derivdef\left(\arctan\left(1\right)\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of arctan(250/250) using the definition. Divide 250 by 250. Find the derivative of \arctan\left(1\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 \arctan\left(1\right). Substituting f(x+h) and f(x) on the limit, we get. Cancel like terms \arctan\left(1\right) and -\arctan\left(1\right). Zero divided by anything is equal to zero.