- #1
DevonZA
- 181
- 6
My attempt:
lny=ln(x^5)^lnx
lny=lnxlnx^5
1/y.dy/dx=(lnx)d/dx(lnx^5)+d/dx(lnx)(lnx^5)
= lnx(1/x^5)+1/x(lnx^5)
= (lnx/x^5)+(lnx^5/x) <---- not sure if this simplifies to 1/x^4+lnx^4?
dy/dx= y(lnx/x^5 + lnx^5/x)
= (x^5)^lnx(lnx/x^5 + lnx^5/x)
Any help would be appreciated.
D.
lny=ln(x^5)^lnx
lny=lnxlnx^5
1/y.dy/dx=(lnx)d/dx(lnx^5)+d/dx(lnx)(lnx^5)
= lnx(1/x^5)+1/x(lnx^5)
= (lnx/x^5)+(lnx^5/x) <---- not sure if this simplifies to 1/x^4+lnx^4?
dy/dx= y(lnx/x^5 + lnx^5/x)
= (x^5)^lnx(lnx/x^5 + lnx^5/x)
Any help would be appreciated.
D.