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Questions › JNU › JNU SIS 2021 › Q46
0 marksMathematics › Limits, continuity and differentiability › Implicit, logarithmic and higher-order differentiationModerateabout 2 min

JNU SIS 2021 Question 46: Limits, continuity and differentiability

The derivative of the function y=(x−2)2x2+1,x≠2y = \frac{(x-2)^2}{\sqrt{x^2+1}}, x \neq 2y=x2+1​(x−2)2​,x=2 is

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The derivative of the function y = ((x-2)²)/(√(x²+1)), x ≠ 2 is (A) (2/(x-2) - x/(√(x²+1))) y (B) (1/(x-2) - 1/(√(x²+1))) y (C) (2/(x-2) - x/(x²+1)) y (D) (2/(x-2) - 1/(√(x²+1))) y

Also written as: The derivative of the function y = ((x-2)^2)/(sqrt(x^2+1)), x != 2 is

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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Question from the JNU SIS 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.