14/04/2024
97276807-Tabel-Cu-Derivate

Reguli de derivare

Vom nota c = constanta reala:

\left({cu}\right)' = {cu}'
\left({u + v}\right)' = {u}' + {v}'
\left({u - v}\right)' = {u}' - {v}'
\left({uv}\right)' = {u}'{v} + {u}{v}'
\left({u \over v}\right)' = {u'v - uv' \over v^2}
(u \circ v)' = (u' \circ v)v'
(u^v)' = (v u^{v-1})u' + (u^v\ln u)v' = u^v\left(u'{v \over u} + v'\ln v\right),\qquad u > 0

Aceasta ultima formula este utilizata atunci cand atat la baza unei puteri, cat si la exponentul acesteia sunt expresii care contin variabila x, cea in functie de care se deriveaza.
Ex:  (x+3)cos(x), (1-sinx)ln(x+2) etc

INTERPOLARE SI APLICATII DIVERSE – curs facultate

  • interpolare in multimea numerelor reale/complexe
  • polinoame de interpolare Newton, Lagrange
  • derivate de ordin superior
  • interpolare inversa
  • aproximarea radacinilor ecuatiilor algebrice
Curs_Metode_numerice

Leave a Reply

Your email address will not be published. Required fields are marked *