problemas de derivadas
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calculo, UIP derivadasTRANSCRIPT
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Tarea 3
Fermin Rodriguez
Calculo 3C_SU_2015, Codigo: IBI-101, Grupo:1
1-dydx
=2x (3 x3−2 )+9 x2 ( x2+2 )=x (15 x3+18 x−4 )
2-dydx
=(5 x2+2 ) (6 x−2 )+10 x (3 x2−2x+7 )=60 x3−30 x2+82x−4
3- dydx
=(x2−2 )2
2√x+1+4 x√ x+1 (x2−2 )= (x2−2 ) (9 x2+8x−2 )
2√ x+1
4-dydx
=2x3√ x2+3+ 2 x3
3 (x2+3 )23
= 8x3+18 x3 (x2+3)2 /3
5-dydx
=2x (x4−1 )+4 x3 (x2+1 )=6 x5+4 x3−2x
6-dydx
=3 (3 x−2 )(5−3 x )2
+ 35−3 x
= 9
(3 x−5 )2
7- dydx
= 23 x2+2
−6x (2 x+√3 )
(3 x2+2 )2=2(3 x2+3
32 x−2)
(3 x2+2 )2
8-dydx
= 9 x2
x2+3−2x (3 x3−2 )
( x2+3 )2=x (3 x3+27 x+4 )
(x2+3 )2
9-dydx
=3 (2 x2−3 x+3 )
(2−3x )2+ 4 x−32−3 x
=−6 x2−8 x−3(3 x−2 )2
10-dydx
= 2 x+3x2+2 x−3
−(2x+2 ) (x2+3 x−1 )
(x2+2x−3 )2=−x2+4 x+7
(x2+2 x−3 )2
11-dydx
=−4 sinx−2cosx=−2(2 sinx+cosx)
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12-dydx
=−2cosxsinx
13-dydx
=2x ¿
14-dydx
=tcos ( t )−sen ( t )
t 2
15-dydx
=cos (2 x )