Allied & ICAR Exam Bank • ALLIED_2639 MCQ • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Partial derivatives

Question Statement:

If $u = x^2 y + y^2 z + z^2 x$, the mixed partial derivative $\frac{\partial^2 u}{\partial x \partial y}$ is:

Options:

  • (A) $2x$
  • (B) $2y$
  • (C) $2z$
  • (D) $x + y$

Answer Key:

A

Step-by-Step Solution & Explanation

$\frac{\partial u}{\partial y} = x^2 + 2yz$. Then $\frac{\partial}{\partial x} (x^2 + 2yz) = 2x$.
← Previous (ALLIED_2638) Next (ALLIED_2640) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test