1. y= rpta: √(1-x)m(1+x)n m+n (n-m)-(n+m)x (n+m)n+m√(1-x)n(1+x)m 2. Rpta : y= √x+√x+√x 1+2√x+4√x√x+√x (x>0) 8√x√𝑥√x√x√x√𝑥 3. Y= sen(cos2x).cos(sen2x) Rpta: -sen 2x.cos(cos2x) 4. Y= senx-xcosx Cosx+xsenx x2 Rpta: (cosx+xsenx)2 tgx-1 tg3x+ 1 tg5x 3 5 6 Rpta: 1+tg x 5. Y= 6. Y= 1-x2 sin x-(1+x)2cosx 2 2 Rpta: x2e-xsenx 7. Y= 1 + 1 4) 4(1+x 4 Rpta: 8. Y = Rpta ln 1 X(1+x4)2 1 2√6 1 2 3x -2 x4 1+x4 (x=0) ln x√3-√2 x√3+√2 9. Y= xln2(x√1+x2)-2√1+x2 ln(x+√1+x2)+2x Rpta: ln2(x+√x2+1) 10. Y= ln b+acosx+√b2-a2sinx a+bcosx rpta: √ b2-a2 a+bcosx 11. Y= 1 (ln3 x+3ln2 x+6+ln x+6) X Rpta. ln3 x (x>0) 2 X 12. Y= ln Rpta : 1 + ln 1 + ln 1 X x x 1+x+ 1+ ln 1 X x 1+xln 1 X 1+xln 1 +ln 1 x x 13. Y= ln tg x – cosx.ln tgx 2 Rpta. sen xln tgx 14. Y= x arcosen √ x + arctg √x-√x 1+x Rpta. arcosin 15. Y= aecotg sen x+ cos x Sen x- cos x Rpta. (x =π +kπ, es entero 4 16. Y= arcosen 1-x2 rpta. -2sgn x 2 1+ x 1+x2 17. Y= 1 ln (x+1)2 + 1 arctg 2x-1 6 x2-x+1 √3 √3 Rpta. 1 X3 +1