Diferensiasikan Soal Berikut Terhadap X, A.Y=X\Xb2 Ln Sin X=0, B.Y=X\Xb3 Sin 5x=0, C.Y=(10x+1)Sin 2x

Diferensiasikan soal berikut terhadap x

a.Y=X² Ln sin x=0
b.Y=X³ sin 5x=0
c.Y=(10x+1)sin 2x

 

Jawaban:

y^ prime =dy/du.du/c y^ prime =sin u.2x y^ prime =2x sin(x^ 2 +2)

2)

y^ 2 +sin(xy)- y)+x^ 2 =1 2yy^ prime +(y+xy^ prime )cos(xy)+2x=0

2yy^ prime +y cos(xy)+xy^ prime cos(xy)+2x=

2yy^ prime +xy^ prime cos(xy)=-2x-y cos(xy) y^ prime (2y+x cos(xy))=-2x-y cos(xy)

y^ prime =\ -2x-y cos(xy))/(2y+x cos (xy))\