Tabel Cu Derivatele Functiilor Elementare

FUNCTIA DERIVATA DOMENIUL DE DEFINITIE FUNCTIA COMPUSA DERIVATA ) tan ( ta cons c 0 R x 1 R u ' u ) N n ( x * n ∈ 1 n nx − R ) N n ( u * n ∈ ' 1 n u u n ⋅ ⋅ − ) R ( x ∈ α α 1 x − α α ) , 0 ( ' Df ∞ ⊇ ) 0 u , R ( u > ∈ α α ' 1 u u ⋅ ⋅ − α α x 1 2 x 1 − * R ) 0 u ( u 1 ≠ x x 2 1 ) , 0 ( ∞ ) 0 u ( u > u 2 u ' x e x e R u e ' u u e ⋅ 1 a 0 , a x ≠ < a ln a x R ) 1 a 0 ( a u ≠ < a ln u a ' u ⋅ ⋅ x ln x 1 ) , 0 ( ∞ ) 0 u ( u ln > u ' u 1 a 0 , x log a ≠ < a ln x 1 ) , 0 ( ∞ ) 0 u ( u log a > a ln u u ' x sin x cos R u sin ' u u cos ⋅ x cos x sin − R u cos ' u u sin⋅ − tgx x cos 1 2 0 x cos ≠ ) 0 u (cos tgu ≠ u cos u 2 ' ctgx x sin 1 2 − 0 x sin \ ≠ ) 0 u (sin ctgu ≠ u sin u 2 ' − x arcsin 2 x 1 1 − ) 1 , 1 ( − ) 1 u ( u arcsin ≤ 2 ' u 1 u − x arccos 2 x 1 1 − − ) 1 , 1 ( − ) 1 u ( u arccos ≤ 2 ' u 1 u − − arctgx 2 x 1 1 + R arctgu 2 ' u 1 u + arcctgx arcctgx 2 x 1 1 + − R arcctgu 2 ' u 1 u + − 2 ' u u −

Tabel Cu Derivatele Functiilor Elementare

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