posted by Riley .
V(h) = pie/3(R^2h-h^3)
take the derivative with respect to h.
using the chain rule I got:
V'(h) = pie/3(2Rh+R^2-3h^2)
but this is not the correct answer. what did I do wrong?
I would prefer to write the V equation as
V(h) = (pi/3)(R^2*h-h^3)
to emphasize that the (R^2h-h^3)
term is not in the denominator.
Unless R is a function of h, you do not have to use the chain rule. You have said nothing that implies that R is a function of h. R and h are independent variables. ÝV/Ýh is really a partial derivative.
Consider R as a constant when differentiating with respect to h.
V'(h) = (pi/3)R^2 - pi*h^2
Jiskha would not allow me to type the rounded-d symbol for d in the partial derivative.