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  2. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    2.1 Proof from derivative definition and limit properties. ... the quotient rule is a method of finding the derivative of a function that is the ratio of two ...

  3. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    These are the three main logarithm laws/rules/principles, [3] from which the other properties listed above can be proven. Each of these logarithm properties correspond to their respective exponent law, and their derivations/proofs will hinge on those facts. There are multiple ways to derive/prove each logarithm law – this is just one possible ...

  4. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    2 Power laws, polynomials, quotients, and reciprocals Toggle Power laws, polynomials, quotients, and reciprocals subsection 2.1 The polynomial or elementary power rule

  5. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    This is a list of limits for common functions such as elementary functions. In this article, the terms a, b and c are constants with respect to x.

  6. Limit (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Limit_(mathematics)

    In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

  7. Vector calculus identities - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus_identities

    2.4 Quotient rule for division by a scalar. 2.5 Chain rule. 2.6 Dot product rule. ... (analogous to interchanging the limits in a definite integral): ...

  8. Limit of a function - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_function

    In particular, one can no longer talk about the limit of a function at a point, but rather a limit or the set of limits at a point. A function is continuous at a limit point p of and in its domain if and only if f(p) is the (or, in the general case, a) limit of f(x) as x tends to p. There is another type of limit of a function, namely the ...

  9. Indeterminate form - Wikipedia

    en.wikipedia.org/wiki/Indeterminate_form

    Indeterminate form is a mathematical expression that can obtain any value depending on circumstances. In calculus, it is usually possible to compute the limit of the sum, difference, product, quotient or power of two functions by taking the corresponding combination of the separate limits of each respective function.