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Formulário de Derivadas 1) 0=)c( dx d 2) 1=)x( dx d 3) )w( dx d)v( dx d)u( dx d)wvu( dx d ±±=±± 4) )v( dx d c)cv( dx d = 5) )u( dx d v)v( dx d u)vu( dx d +=⋅ 6) 01 ≠= c),u( dx d cc u dx d 7) 1−= nn nx)x( dx d 8) )u( dx d un)u( dx d nn 1− ⋅= 9) 2v )v( dx d u)u( dx d v v u dx d − = 10) ydefunçãoumaxsendo, dy dxdx dy 1 = 11) )x(gue)u(fy dx du du dy dx dy ==⋅= 12) dx du)ucos())u(sen( dx d = 13) dx du)u(sen))u(cos( dx d −= 14) dx du)u(sec))u(tg( dx d 2 = 15) dx du)u(seccos))u(g(cot dx d 2 −= 16) dx du)u(tg)usec())u(sec( dx d = 17) dx du)u(gcot)usec(cos))usec((cos dx d −= 18) dx du)e(log u ))u((log dx d aa 1 = 19) dx du u ))u(ln( dx d ⋅= 1 20) dx du)aln(a)a( dx d uu = 21) dx du e)e( dx d uu = 22) dx dv u)uln( dx du vu)u( dx d vvv ⋅+= −1 23) dx du u ))u(arcsen( dx d 21 1 − = 24) dx du u ))u(arccos( dx d 21 1 − −= 25) dx du u ))u(arctg( dx d 21 1 + = 26) dx du u ))u(gcotarc( dx d 21 1 + −= 27) dx du uu ))usec(arc( dx d 1 1 2 − = 28) dx du uu ))usec((arccos dx d 1 1 2 − −= 29) dx du)ucosh())u(senh( dx d = 30) dx du)u(senh))u(cosh( dx d = 31) dx du)u(hsec))u(tgh( dx d 2 = 32) dx du)u(hseccos))u(gh(cot dx d 2 −= 33) dx du)u(tgh)u(hsec))u(h(sec dx d −= 34) dx du)u(ghcot)u(hseccos))u(hsec(cos dx d −= 35) dx du u ))u(senh(arg dx d 1 1 2 + = 36) 1 1 1 2 > − = u, dx du u ))ucosh((arg dx d 37) 1 1 1 2 < − = u, dx du u ))u(tgh(arg dx d 38) 1 1 1 2 > − = u, dx du u ))u(ghcot(arg dx d 39) 10 1 1 2 << − −= u, dx du uu ))u(hsec(arg dx d 40) 0 1 1 2 ≠ + −= u, dx du uu ))u(hseccos(arg dx d 2 xx ee senhx − − = 2 xx ee xcosh −+ =
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