GATE Civil Engineering
0 votes

Let $w=f(x,y)$, where $x$ and $y$ are functions of $t$. Then, according to the chain rule, $\frac{dw}{dt}$ is equal to

  1. $\frac{dw}{dx} \frac{dx}{dt} + \frac{dw}{dy} \frac{dt}{dt}$
  2. $\frac{\partial w}{\partial x} \frac{\partial x}{\partial t} + \frac{\partial w}{ \partial y} \frac{\partial y}{ \partial t}$
  3. $\frac{\partial w}{\partial x} \frac{d x}{dt} + \frac{\partial w}{ \partial y} \frac{dy}{dt}$
  4. $\frac{d w}{dx} \frac{\partial x}{\partial t} + \frac{dw}{dy} \frac{\partial y}{ \partial t}$
in Others by (3.9k points)
edited by

Please log in or register to answer this question.

Welcome to GATE Civil Q&A, where you can ask questions and receive answers from other members of the community.
Top Users Oct 2019
  1. ttf08203

    100 Points

  2. LLDManuel206

    100 Points

  3. KristyBoatwr

    100 Points

  4. GlennaNelms6

    100 Points

  5. KristoferMac

    100 Points

  6. MadelineScar

    100 Points

  7. ChristoperPr

    100 Points

  8. DarnellMcgin

    100 Points

  9. KandaceCaleb

    100 Points

  10. JeniferSnead

    100 Points

911 questions
92 answers
26 comments
43,227 users