Månadsarkiv: december 2012

Merry Christmas & Happy New Year

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MacLaurin-polynomials

→Taylor-expansion is a method of approximating a function f(x) around a point a with a polynomial of the argument x in the vicinity of a. The polynomial itself consists of the derivatives of the function of various orders. Tn(x) = … Läs mer

Publicerat i Calculus, Gymnasiematematik(high school math) | Märkt , | Lämna en kommentar

Learn about buoyancy and how to compare apple and pears:

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Integration by parts

Integration by  parts can be regarded as the inverse to the product rule for differentiation. Suppose U(X) and V(x) are  two differentiable functions. According to the product rule dU(x)V(x)/dx = U(x) dV(x)/dx + V(x)dU(x)/dx = U(x) dV(x)/dx+ V(x)dU(x)/dx Integrating both … Läs mer

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 4 | Märkt , | Lämna en kommentar