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# Differentiating

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1. 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 ?
2. (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

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