f(x)=∣x3x23x21−64pp2p3∣f(x) = \begin{vmatrix} x^3 & x^2 & 3x^2 \\ 1 & -6 & 4 \\ p & p^2 & p^3 \end{vmatrix}, he…

Mathematics

Problem

f(x)=∣x3x23x21−64pp2p3∣f(x) = \begin{vmatrix} x^3 & x^2 & 3x^2 \\ 1 & -6 & 4 \\ p & p^2 & p^3 \end{vmatrix}, here pp is a constant, then d3f(x)dx3\frac{d^3 f(x)}{dx^3} is (a) Proportional to x2x^2 (b) Proportional to xx (c) Proportional to x3x^3 (d) A constant

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