Question

10 急求几道大一高数题～要有步骤～感谢好心人～～～～ 实在是不会做～谢谢谢谢！

10 急求几道大一高数题～要有步骤～感谢好心人～～～～
实在是不会做～谢谢谢谢！

Answer 1

sin'(x+y)=sin'x+sin'y
cos(x+y)*(1+y')=cosx+
cosy*y'
y'=[cosx-cos(x+y)]/[cos(x+y)-cosy]

xy+x=y-1
y=(x+1)/(1-x)
y'=[(1-x)-(x+1)*(-1)]/(1-x)^2
=2/(x-1)^2
5y^4*y'=siny+xcosy*y'+6y*y'
y'=siny/(xcosy+6y-5y^4)

y+xy'=e^(x+y)*(1+y')
y'=[y-e^(x+y)]/[e^(x+y)-x]

(x+y)^(x+1)*[ln(x+y)+(x+1)/(x+y) *(1+y')
=3+2y'
代入(0，2)
2*[ln2+1/2(1+y')]=3+2y'
y'=2ln2-2

追问

谢谢！

追答

5y^4*y'=siny+xcosy*y'+6y*y'
y'=siny/(5y^4-xcosy-6y)