Items tagged with implicit-differentation implicit-differentation Tagged Items Feed

On November 22, Joe Riel posted an implicit differentiation problem that caught my attention. It took the manipulations typically learned in an Advanced Calculus course one step further, but the devices learned in such a course could readily be applied. Joe's solution was expressed in terms of exterior...

I am trying to go from body-referenced aircraft velocities u, v, w, to angle of attack a, sideslip b, and total speed V. This is a standard problem for beginning aeronautics, I'm just wondering the best was to solve it with maple. Spefically, I would like to use the following relations to get short expressions for the derivatives of u, v, and w.

Given that

u = V * cos(a) * cos(b)

v = V*sin(b)

w = V*sin(a)*cos(b)

and all variables above...