Hi there, I'm trying to do the following implicit differentiation on my TI-Nspire CAS, and I can't figure it out.

v = \frac{1}{3} \pi r^2 h

I want to get: \frac{dv}{dt} = \frac{2}{3} \pi r \frac{dr}{dt} \frac{dh}{dt}

Is there any way to get the Nspire to produce that sort of output?

I know that ImpDif of x^2 + y^2 = 36 can be implicitly derived by the Nspire to yield \frac{-x}{y} but how about cases where a function is being derived with respect to a variable not found in the function itself (like t as in the case above)? (if this makes sense)

Warm regards,

Abe