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Calculus

f(x)=(x-α)(x-β).... prove derivative of f(x)/f(x) = 1/x-α+1/x-β....

Note by Hrushikesh Behera
3 months, 3 weeks ago

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\(f(x)=(x-\alpha)(x-\beta)\)

\(\log(|f(x)|)=\log(|x-\alpha|)+\log(|x-\beta|)\)

\(\text{Differentiating,we get,}\)

\(\dfrac{f'(x)}{f(x)}=\dfrac{1}{(x-\alpha)}+\dfrac{1}{(x-\beta)}\) Anirudh Sreekumar · 3 months, 3 weeks ago

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