# GATE Questions & Answers of Partial Derivatives

## What is the Weightage of Partial Derivatives in GATE Exam?

Total 2 Questions have been asked from Partial Derivatives topic of Calculus subject in previous GATE papers. Average marks 1.50.

A particle, starting from origin at t = 0 s, is traveling along x-axis with velocity

$\mathrm{v}=\frac{\mathrm{\pi }}{2}\mathrm{cos}\left(\frac{\mathrm{\pi }}{2}t\right)\mathrm{m}/\mathrm{s}$

At t = 3 s, the difference between the distance covered by the particle and the magnitude of displacement from the origin is _________.

A function $y=5{x}^{2}+10x$ is defined over an open interval x=(1,2)  . At least at one point in this interval,$\frac{dy}{dx}$ is exactly