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Taking the derivative of arctangent
Learn how to solve differential calculus problems step by step online.
$\frac{1}{1+\left(\frac{y}{x}\right)^2}\frac{d}{dy}\left(\frac{y}{x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arctan(y/x). Taking the derivative of arctangent. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Combine 1+\frac{y^2}{x^2} in a single fraction. Divide fractions \frac{1}{\frac{y^2+x^2}{x^2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.