Question

Differentiate:
y= x^(5x)

Answer 1

lny=5xlnx

Answer 2

What do I do after?

Answer 3

take log both sides
log y = 5x logx
differntiate
1/y * dy = 5x*1/x + 5*logx

Answer 4

okay thanks

Answer 5

1/y * dy = 5x*1/x * dx + 5*logx*dx
dy/y=(5+5logx)*dx
dy/dx=y*(5+5logx)

Answer 6

but y=x^5x
dy/dx=x^5x*(5+5logx)

Answer 7

okay, yeah I got it, I factored out a 5

Answer 8

okkk :)