Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › JNU › JNU SIS 2016 › Q8
2 marks, −1Mathematics › Limits, continuity and differentiability › Implicit, logarithmic and higher-order differentiationEasyabout 1 min

JNU SIS 2016 Question 8: Limits, continuity and differentiability

In the following expression y2+4=x2−9y^2 + 4 = x^2 - 9y2+4=x2−9 dydx\dfrac{dy}{dx}dxdy​ would be

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

In the following expression y² + 4 = x² - 9 dy/dx would be (A) xy (B) x / y (C) x + y (D) x - y

Also written as: In the following expression y^2 + 4 = x^2 - 9 dy/dx would be

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.

TestStop has 9 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2022 · Q11Let x³ + 3y² = 4 for all x, y ∈ ℝ, y′ = dy/dx and y′′ = d²y/dx². Then
Practise Limits, continuity and differentiabilityMore on Implicit, logarithmic and higher-order differentiation

Similar questions from other papers

  • CUET-PG 2026 · Q24Derivative of Average cost (AC) = 5 + 2/Q is
  • IIT JAM 2026 · Q50The value of the first derivative of f(x)=(3x³+2x²+x+1)² evaluated at x=2 is (*in integer*).
  • UGC-NET 2026 · Q8What will be the third derivative of the following rational function? y = g(x) = x/(1+x); (x ≠ -1)
  • CUET-PG 2025 · Q3The exports of goods of a country, G = G(t) has a growth rate of a/t, and its exports of services, S = S(t) has a growth rate of b/t. What is the growth rate of its…
  • GATE 2025 · Q32Let f(x) = -3x²(1-x) - 3x(1-x)² - (1-x)³. Then, df(x)/dx =

Question from the JNU SIS 2016 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.