What is the derivative of $[pi(r)^2(h)]/3$ ?

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Answer 1 · 2017-03-17T20:40:54

It depends upon which variable you are basing your derivative on.
(see below)

Assuming $r$ and $h$ are independent variables:

$(d (pi(r)^2(h))/3)/(dr) = 2/3 pirh$

and

$(d (pi(r)^2(h))/3)/(dh) = (pir^2)/3$

What is the derivative of [pi(r)^2(h)]/3 [pi(r)^2(h)]/3?