02-25-2012 09:32 AM
I am trying to find out if the HP 50g can do the following:
x = f(Θ) = 10 sin(2Θ)
Solution by hand is uses the chain rule:
dx/dt = dx/dΘ * dΘ/dt
dx/dt = 20 cos(2Θ) dΘ/dt
Then, ultimately, I would like to derive that equation a second time to get a second derivative dx²/d²t. This will require using the product rule and the chain rule together.
dx²/d²t = [f ' g + f g ' ]
f = 20 cos (2Θ)
g = dΘ/dt
f ' = -40 sin (2Θ) dΘ/dt
g' = dΘ²/d²t
Substituting f, g, f ', g' back in we get:
dx²/d²t = -40 sin (2Θ) (dΘ/dt)² + 20 cos (2Θ) dΘ²/d²t
Now, I would like to be able to do this on the HP 50g because as you can see it is going to get rather ugly. This is for an Engineering Dynamics course.
Thanks for your time.
02-26-2012 02:14 PM
Perhaps the following will be of use to you:
Note: the manual it refers to is the 887 page "HP-50g User's Guide" found here:
See the "User Guide" list title: HP 50g_users guide_English_E_DCVL5300788.pdf (the 9.54 MB file)
Note, I do not work for HP, I just like playing with calculators :-)