Homework Statement
f(x) is a differentiable function let
F(t)= \int\int\int_{x^2+y^2+z^2\leq t^2} f(x^2+y^2+z^2) dx dy dz
compute F^{'}(t)
Homework Equations
x=p sin \phi cos\theta
y= p sin \phi sin\theta
z= p cos \phi
spherical bounds 0<p<t 0<\phi<\Pi 0<\theta < 2\Pi
p^2...