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 › DSE › DSE 2013 › Q24
2 marksMathematics › Limits, continuity and differentiability › Rules of differentiationModerateabout 2 min

DSE 2013 Question 24: Limits, continuity and differentiability

Consider f(x)=x6+5x4+2f(x)=x^6+5x^4+2f(x)=x6+5x4+2 for all x≥0x\ge 0x≥0. The derivative of its inverse function evaluated at f(x)=8f(x)=8f(x)=8, that is (f−1)′(8)(f^{-1})'(8)(f−1)′(8), equals:

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

Consider f(x)=x⁶+5x⁴+2 for all x≥ 0. The derivative of its inverse function evaluated at f(x)=8, that is (f⁻¹)′(8), equals: (A) 1/7. (B) 1/15. (C) 1/26. (D) 1/20.

Also written as: Consider f(x)=x^6+5x^4+2 for all x>= 0. The derivative of its inverse function evaluated at f(x)=8, that is (f^(-1))'(8), equals:

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Rules of differentiation, part of Limits, continuity and differentiability in Mathematics.

Finding derivatives with the power, product, quotient and chain rules.

TestStop has 30 past-paper questions on this subtopic.

Practise Limits, continuity and differentiabilityMore on Rules of 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 DSE 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.