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1997

JEE Main 1997 Mathematics question on Limits Continuity and Differentiability

Let f(x)=∣x3sin⁡xcos⁡x6−10pp2p3∣f(x) = \begin{vmatrix} x^3 & \sin x & \cos x \\ 6 & -1 & 0 \\ p & p^2 & p^3 \end{vmatrix}, where pp is constant.

Then d3dx3f(x)\dfrac{d^3}{dx^3} f(x) at x=0x = 0 is
  1. A.
    pp
  2. B.
    p+p2p + p^2
  3. C.
    p+p3p + p^3
  4. D.
    independent of pp
Show answer

Correct option: D

[1997]

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