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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Differential coefficient of (xl+mm−n)1n−l⋅(xm+nn−l)1l−m⋅(xn+ll−m)1m−n\left(x^{\frac{l+m}{m-n}}\right)^{\frac{1}{n-l}} \cdot\left(x^{\frac{m+n}{n-l}}\right)^{\frac{1}{l-m}} \cdot\left(x^{\frac{n+l}{l-m}}\right)^{\frac{1}{m-n}} w.r.t. xx, is
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Correct option: B
0
Option B (0) is correct because the expression simplifies to a constant, and the derivative of a constant is zero.

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