1.iff(x)=xln(x^2),thenf'(x)=?2.iff(x)=ln[x+4+e^(-3x)],thenf'(0)is?3.iff(x)=[e^(2x)]/2x,thenf'(x)=?4.iff=Arctan(cosx),thendy/dx=?5.ifg(x)=3^√(x-1)andf(x)istheinversefunctionofg(x),thenf'(x)=?6.letfbethefunctiondefin

Question

1.if f(x)=x ln(x^2),then f ' (x)=?
2.if f(x)=ln[x+4+e^(-3x)],then f ' (0) is?
3.if f(x)=[e^(2x)]/2x,then f ' (x)=?
4.if f=Arc tan(cosx),then dy/dx=?
5.if g(x)=3^√(x-1) and f(x) is the inverse function of g(x),then f ' (x)=?
6.let f be the function defind by f(x)=x^3+x.if g(x)=f^(-1) and g(2)=1,what is the value of g ' (2)?

Answer 1

1.lnx^2+2/x
2..0
3.(1-2x)e^2x/(2x^2)
4.sinx/(x^2+1)
5.f'(x)=1/g'(x)=2/3*(x-1)^(-1/2)
6.==|看不懂了