Question: 1. What is the formula for V , the volume of a sphere of radius r? Find dV /dr. What is the geometrical meaning of dV /dr?
2. Show that for any power function f(x) = xn, we have f'(1) = n.
3. Is there a value of n which makes y = xn a solution to the equation 13x(dy/dx) = y? If so, what value?