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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=(xaxb)a+b⋅(xbxc)b+c⋅(xcxa)c+af(x)=\left(\frac{x^a}{x^b}\right)^{a+b} \cdot\left(\frac{x^b}{x^c}\right)^{b+c} \cdot\left(\frac{x^c}{x^a}\right)^{c+a} then f′(x)f^{\prime}(x) is equal to
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Correct option: B
0
Option B (0) is correct because after simplification, f(x) becomes 1, and the derivative of a constant is 0.

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