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You forgot to say Explain in the beginning -_-
Differentials can be used to approximate a nonlinear function as a linear function. They can be used as a "factory" to quickly find partial derivatives. They can be used to test if a function is smooth.
Partial products cannot be used for a single number. They are a form of multiplication.
70 x 30 = 2100 6 x 30 = 180 2100 + 180 = 2280 30 x 76 = 2280