[sabre2th1]

In a question I was doing, the volume of a cylinder, V, was equal to

(pi)r²h.

I was also told the area was 4000 (so (pi)r² = 4000). I substituted this value in and got V=4000h (I then went on to differentiate by calculating dV/dh)..

If I was not given the value of the area, would it be possible to differentiate (pi)r²h ?

[Intriguing Alias]

(Original post by sabre2th1)
In a question I was doing, the volume of a cylinder, V, was equal to

(pi)r²h.

I was also told the area was 4000 (so (pi)r² = 4000). I substituted this value in and got V=4000h (I then went on to differentiate by calculating dV/dh)..

If I was not given the value of the area, would it be possible to differentiate (pi)r²h ?

Well given that the area is a fixed constant of unknown quantity and you're still differentiating with respect to h you'd just get