Pusaram J.

asked • 09/04/18

Is derivative of several variable function an vector quantity?

Please tell me that derivative of several variables function is vector or scalar?

2 Answers By Expert Tutors

By:

Arturo O. answered • 09/04/18

Tutor
5.0 (66)

Experienced Physics Teacher for Physics Tutoring

Pusaram J.

Sir total differential of several variable function is scalar or vector?
Report

09/04/18

Arturo O.

If it is a scalar function, the total derivative is a scalar.  For example, consider
 
f = f(x(t), y(t), t)
 
df/dt = (∂f/∂x)(dx/dt) + (∂f/∂y)(dy/dt) + ∂f/∂t
 
But you could also have a vector function F whose total derivative is also a vector.
Report

09/04/18

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.