How to find the gradient of a function in spherical coordinates system ?
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For example a scalar field in Cartesian coordinates system A=x^2*y+x*y*z So, if we differentiate this entire equation with respect to x, y and z and add them then we will get the answer 3*X*y+x*z+y*z+x^2. But when we calculate the gradient the correct value should be (2*x*y+y*z)ax+(x^2+X*z)ay+(x*y)az
So can anybody please tell me the proper and correct method to find the gradient in spherical coordinates system
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Answers (1)
Stephan
on 31 Mar 2019
Hi,
syms x y z
A = x^2*y+x*y*z
res = gradient(A,[x y z])
results in:
res =
2*x*y + y*z
x^2 + z*x
x*y
Best regards
Stephan
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