Partial Differentiation — Study Resources & PYQs
Partial differentiation of functions of several variables.
- Estimated study time: 30 minutes
Study resources
- Partial Differentiation (Video) — Full Hindi/English playlist building partial derivatives from the limit definition through worked B.Tech problems. Best starting point for the topic.
- Partial Differentiation (Article) — Organised list of GP Sir's partial-differentiation videos (Jacobians, total differentials, examples) so students can jump to a specific sub-topic.
- Maxima & Minima of Two Variables + Lagrange Multipliers (Article) — Direct links to GP Sir's videos on maxima-minima of f(x,y) and Lagrange's method of undetermined multipliers, plus partial differentiation and multiple integrals.
Partial Differentiation previous year questions
- (a) State Euler's Theorem for homogeneous functions and verify it for the function $u(x,y) = \sqrt{x^2+y^2}$. (b) If $u = (x-y)z^2 + (y-z)x^2 + (z-x)y^2$, then…
- (a) Show that $\frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = 0$, where $u = \tan^{-1}\left(\frac{y}{x}\right)$. (b) Find the position…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu