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2. Difference quotient - Wikipedia

   en.wikipedia.org/wiki/Difference_quotient

   Difference quotients may also find relevance in applications involving Time discretization, where the width of the time step is used for the value of h. The difference quotient is sometimes also called the Newton quotient [10] [12] [13] [14] (after Isaac Newton) or Fermat's difference quotient (after Pierre de Fermat). [15]

3. Reciprocal rule - Wikipedia

   en.wikipedia.org/wiki/Reciprocal_rule

   In that way, it is a weaker result than the reciprocal rule proved above. However, in the context of differential algebra, in which there is nothing that is not differentiable and in which derivatives are not defined by limits, it is in this way that the reciprocal rule and the more general quotient rule are established.

4. Chain rule - Wikipedia

   en.wikipedia.org/wiki/Chain_rule

   The latter is the difference quotient for g at a, and because g is differentiable at a by assumption, its limit as x tends to a exists and equals g′(a). As for Q(g(x)), notice that Q is defined wherever f is. Furthermore, f is differentiable at g(a) by assumption, so Q is continuous at g(a), by definition of the derivative.

5. Inverse function rule - Wikipedia

   en.wikipedia.org/wiki/Inverse_function_rule

   In calculus, the inverse function rule is a formula that expresses the derivative of the inverse of a bijective and differentiable function f in terms of the derivative of f. ...

6. Quotient rule - Wikipedia

   en.wikipedia.org/wiki/Quotient_rule

   In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = () ...

7. Finite difference - Wikipedia

   en.wikipedia.org/wiki/Finite_difference

   A finite difference is a mathematical expression of the form f (x + b) − f (x + a).If a finite difference is divided by b − a, one gets a difference quotient.The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential equations, especially boundary value problems.

8. Differentiation rules - Wikipedia

   en.wikipedia.org/wiki/Differentiation_rules

   The elementary power rule generalizes considerably. The most general power rule is the functional power rule: for any functions f and g, ′ = (⁡) ′ = (′ + ′ ⁡), ...

9. Quotition and partition - Wikipedia

   en.wikipedia.org/wiki/Quotition_and_partition

   In general, a quotient = /, where Q, N, and D are integers or ... The math we need to know and do in grades preK–5 : concepts, skills, standards, ...