GATE CE 2026 Set 2 — Question 36

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MCQ+2 / -0.67MediumDeterminantsLinear AlgebraEngineering MathematicsFunctions of Single VariableCalculus

Engineering Mathematics → Calculus → Determinants

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Question

Let f(x)=x3sinxcosx610pp2p3f(x) = \begin{vmatrix} x^3 & \sin x & \cos x \\ 6 & -1 & 0 \\ p & p^2 & p^3 \end{vmatrix} where pp is a constant.
The value of d3dx3f(x)\frac{d^3}{dx^3} f(x) at x=0x = 0 is
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