What are difference quotients?

Some articles on difference quotients, difference:

Leibniz Integral Rule - Proofs - Proof of Basic Form
... Let So that, using difference quotients Substitute equation (1) into equation (2), and combine the integrals (since the difference of two integrals equals the integral ... proof, we show that these hypotheses are satisfied by the family of difference quotients ... Uniform boundedness of the difference quotients follows from uniform boundedness of and the Mean Value Theorem, since for all y and n, there exists z in the interval such that ...

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