Final Answer
$\frac{1}{1+x^2}$
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Step-by-step Solution
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1
Taking the derivative of arctangent
$\frac{1}{1+x^2}\frac{d}{dx}\left(x\right)=\frac{1}{1+x^2}$
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$\frac{1}{1+x^2}\frac{d}{dx}\left(x\right)=\frac{1}{1+x^2}$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(arctan(x))=1/(1+x^2). Taking the derivative of arctangent. The derivative of the linear function is equal to 1. Any expression multiplied by 1 is equal to itself.
Final Answer
$\frac{1}{1+x^2}$