Question

The experiment suggests that in temperature field, heat flows in the direction
of maximum decrease of temperature f(x,y,z), Let v=-i+j+k is the maximum
decrease direction at a given point p. It is also given that the direction
derivative at this point P is 2√3. What is the temperature gradient f at p?
What is the derivative of t at p in the direction of -i+j?​

Answer 1

Answer:

The experiment suggests that in temperature field, heat flows in the direction of maximum decrease of temperature f(x,y,z), Let v=-i+j+k is the maximum. decrease direction at a given point p. It is also given that the direction. derivative at this point P is 2√3.