posted by .

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?

  • calculus -

    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

  • calculus -

    Ignore ÝV/Ýh

    Jiskha would not allow me to type the rounded-d symbol for d in the partial derivative.

  • calculus -


Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus (Help)

    Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the …
  2. physics

    The motion of a particle is described by x = 10 sin (piet +pie/2 ). At what time ( in second ) is the potential energy equal to the kinetic energy ?
  3. Calculus

    I finished this problem but I wanted some feedback because I don't know if it's entirely correct. Suppose that functions f and g and their derivatives with respect to x have the following values at x=2. f(x)=8 g(x)=2 f'(x)=1/3 g'(x)=-3 …
  4. calculus

    find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3,y=1, and x=2 about the x-axis using the disk method. 9 express the answer in terms of pie) i got the answer to be 3/5 pie but im not sure if …
  5. Calculus

    If water is poured into a cup at a rate of 1 cubic centimeter per second, how fast is the dept of the water increasing when the water is 4 cm deep?
  6. Calculus grade 12

    solve for (<_ = less than or equal to / pie = pie sign / -pie = negative pie) 3 sin²x = cos²x ; 0 <_ x < 2pie cos²x - sin²x = sinx ; -pie < x <_ pie
  7. Calculus

    Determine derivative of each function A) y = 3xSinx B) f(t) = 2t^2Cos2t C) [(pie)tSin](pie(t)-6)
  8. Math Geo help Ms Sue?

    I have two questions about two circles. A.First circle shows half a line measuring 4mm using 3.14 for pie. I came up with an answer that is wrong.:( B.Second circle same pie but with a line all the way across the circle measuring 18cm. …
  9. Fractions

    Paul's dad made a turkey pot pie for dinner on Wednesday. The family ate 4/8 of the pie. On Thursday, Paul ate 2/16 of pie for a snack. What fraction of the pie remains?
  10. Calculus

    The horizontal position of an object from a point of origin in meters is modeled by the function x(t)= (1+sin(t))/(2+cos(t)) where t is measured in minutes and 0 is less than or equal to t which is less than or equal to 5. A) show …

More Similar Questions