What will be the third derivative of the following rational function? ;
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UGC-NET 2026 Question 8: Limits, continuity and differentiability
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What will be the third derivative of the following rational function? y = g(x) = x/(1+x); (x ≠ -1) (A) -2(1+x)⁻³ (B) 6(1+x)⁻⁴ (C) -24(1+x)⁻⁵ (D) (1+x)⁻²
Also written as: What will be the third derivative of the following rational function? y = g(x) = x/(1+x); (x != -1)
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Implicit, logarithmic and higher-order differentiation, part of Limits, continuity and differentiability in Mathematics.
Differentiating relations that are not solved for y, and taking second and higher derivatives.
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