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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. 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. 2.7 Cross product rule. 3 Second derivative identities.

  4. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    All derivatives of circular trigonometric functions can be found from those of sin(x) and cos(x) by means of the quotient rule applied to functions such as tan(x) = sin(x)/cos(x). Knowing these derivatives, the derivatives of the inverse trigonometric functions are found using implicit differentiation.

  5. Polynomial long division - Wikipedia

    en.wikipedia.org/wiki/Polynomial_long_division

    Polynomial long division is an algorithm that implements the Euclidean division of polynomials, which starting from two polynomials A (the dividend) and B (the divisor) produces, if B is not zero, a quotient Q and a remainder R such that A = BQ + R, and either R = 0 or the degree of R is lower than the degree of B.

  6. Propagation of uncertainty - Wikipedia

    en.wikipedia.org/wiki/Propagation_of_uncertainty

    Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables ⁡ (+) = ⁡ + ⁡ + ⁡ (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...

  7. How to budget with the 50/30/20 rule: A simple, effective ...

    www.aol.com/finance/50-30-20-budgeting-rule...

    The key is finding an allocation breakdown that works best for you and your financial goals. Benefits of the 50/30/20 rule It’s straightforward and easy to understand.

  8. Romberg's method - Wikipedia

    en.wikipedia.org/wiki/Romberg's_method

    To estimate the area under a curve the trapezoid rule is applied first to one-piece, then two, then four, and so on. One-piece. Note since it starts and ends at zero, this approximation yields zero area. Two-piece Four-piece Eight-piece. After trapezoid rule estimates are obtained, Richardson extrapolation is applied.

  9. This 'rule of thumb' shows who needs to make a third-quarter ...

    www.aol.com/news/irs-rule-thumb-shows-needs...

    You should make estimated tax payments if you expect to owe at least $1,000 in taxes after subtracting your 2024 withholdings and tax credits or if you can’t meet so-called “safe harbor rules ...