I don't know how to find vector derivatives in other co-ordinate systems easily.

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I have been reading Electrodynamics by griffiths and I don't know how to find the gradient, curl, etc in spherical or cylindrical co-ordinates. I need a simple method or algorithm to quickly derive all the expressions for any co-ordinate system. I don't know much linear algebra etc. Please help, I have an exam tomorrow. I haven't been able to find the answer in simple terms anywhere. Also, if possible, please indicate where I could learn more in the future about these things.