**TI82** TxtView file generated by CalcText - KouriÊ »derivees»¹ÿDérivées utilesDerives usuelles ===================== __________________ | f(x) | f'(x) | |-----------------| | k | 0 | |-----------------| | ax+b | a | |-----------------| | x | 1 | |-----------------| | x² | 2x | |-----------------| | x3 | 3x² | |-----------------| | X^n |nX^(n-1)| |-----------------| | 1/x |-(1/x²) | |-----------------| | R²x | 1/2R²x | |-----------------| | cos x | -sin x | |-----------------| | sin x | cos x | |________|________| Operations sur les derivees (u+v)'=u'+v' (ku)'=ku' (uv)'=u'v+uv' (1/v)'=-(v'/v²) (u/v)'=(u'v-uv')/v² (V°U)'(x)= u'* (v'°u) Conséquences: (u^n)' = nu'u^(n-1) nu' (1/u^n)' = - _______ u^(n+1) u' (V(u))' = _____ 2V(u) (cos (u))' = -u' sin (u) (sin (u))' = u' cos (u) Equations de Tangentes y= f'(a)(x-a)+f(a)ÿ¤æ