How to find the gradient of a function in spherical coordinates system ?

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Aswin K P
Aswin K P 2019-3-29
回答： Stephan 2019-3-31
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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回答（1 个）

Stephan
Stephan 2019-3-31
Hi,
take advantage of the gradient function:
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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