EJERCICIO N°1 1. Y= x 3 +4 x 2 −x dy dx = d dx ( x 3 ) + d dx ( 4 x 2 ) − d dx ( x ) dy dx =3 x 3−1 +4 d dx ( x 2 )−1 dy dx =3 x 2 +4 ( 2 x 2−1 ) −1 dy dx =3 x 2 +8 x−1 2. Y=8 x 4 −3 x 2 +6 dy dx = d dx ( 8 x 4 ) − d dx ( 3 x 2 ) + d dx ( 6 ) dy dx =8 d dx (x 4 ) −3 d dx ( x 2 )+0 dy dx =8 (4 x 4−1 )−3 ( 2 x 2−1 )+0 dy dx =32 x 3 −6 x+ 0 3. Y=5 x 4 −10 x 3 + 2 x 2 +5 x− 4
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