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  2. 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 () = () ...

  3. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    The reciprocal rule can be derived either from the quotient rule, or from the combination of power rule and chain rule. ... Logarithms can be used to remove exponents ...

  4. 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 ...

  5. Power rule - Wikipedia

    en.wikipedia.org/wiki/Power_rule

    Solving for , = = = = = Thus, the power rule applies for rational exponents of the form /, where is a nonzero natural number. This can be generalized to rational exponents of the form p / q {\displaystyle p/q} by applying the power rule for integer exponents using the chain rule, as shown in the next step.

  6. Laws of exponents - Wikipedia

    en.wikipedia.org/wiki/Laws_of_exponents

    The laws of exponents or exponent laws are a set of mathematical laws for use in the simplification, evaluation, and manipulation of mathematical expressions.

  7. Logarithmic differentiation - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_differentiation

    which is the quotient rule for derivatives. Functional exponents For a ... be a finite product of functions with functional exponents. The ...

  8. Logarithmic derivative - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_derivative

    More generally, the logarithmic derivative of a quotient is the difference of the logarithmic derivatives of the dividend and the divisor: (/) ′ / = (′ ′) / / = ′ ′, just as the logarithm of a quotient is the difference of the logarithms of the dividend and the divisor.

  9. Product rule - Wikipedia

    en.wikipedia.org/wiki/Product_rule

    This, combined with the sum rule for derivatives, shows that differentiation is linear. The rule for integration by parts is derived from the product rule, as is (a weak version of) the quotient rule. (It is a "weak" version in that it does not prove that the quotient is differentiable but only says what its derivative is if it is differentiable.)

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