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I know the following

R =sqrt(x^2+y^2+z^2)

theta, call it %, = arctan sqrt(x^2+y^2)/z

phi, arctan (y/x)

Using dT/dx= dT/dR*dr/dx+dT/d%*d%/dx+dT/dphi*dphi/dx, do partial derivates...

dR/dx = x/(sqrt(x^2+y^2+z^2)

d%/dx = xz/[(sqrt(x^2+y^2)*(x^2+y^2+z^2)]

dphi/dx = -y/sqrt(x^2+y^2)

The place these values into the listed value dT/dx.

so its,

dT/dx = dT/dR*x/(sqrt(x^2+y^2+z^2)+

dT/d%*xz/[(sqrt(x^2+y^2)*(x^2+y^2+z^2)]+

dT/dphi*y/sqrt(x^2+y^2)

From here I don't know what to do or even if I am doing it right. Its been a while since i have taken calc. I know there is some relations for the trig functions, but can't seems to find them.

the final solution for del gradiant in spherical is

R^*d/dr+theta^/r*d/dtheta+phi^/r sin (phi) *d/dphi.

I'm really lost and need some help. Thanks in advance.