JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

y=\frac{a x^2}{(x-a)(x-b)(x-c)}+\frac{b x}{(x-b)(x-c)}+\frac{c}{x-c}+1

then

d y / d x

is equal to

View answer and explanation

Correct option: A

\frac{-y}{x}\left(\frac{a}{x-a}+\frac{b}{x-b}+\frac{c}{x-c}\right)

Option A is correct because the derivative is found by logarithmic differentiation, simplifying the expression before differentiating.

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