Question

How does the chain rule apply to
\[ \frac{d}{dx} ln(y*x) \] with y a constant

Answer 1

y some number so derivative x is 1

Answer 2

wut

Answer 3

I'm not asking the answer I'm asking how the chain rule applies to this problem

Answer 4

what is derivative of lnx

Answer 5

1/x

Answer 6

so what about lnIxyI

Answer 7

1/xy?

Answer 8

yes but u did not take derivative of xy because u took derivative of ln

Answer 9

next step is to take derivative of xy but y is constant

Answer 10

Why do we split this up? How can I use chain rule here? Because I don't see any function coposition going on...

Answer 11

function composition*

Answer 12

I don't need to know the next step I need to know WHY

Answer 13

The derivative of ln and then the derivative of (xy), using product rule.

Answer 14

Chain rule states:
\[\frac{ df }{ dx } = \frac{ df }{ dg }(\frac{ dg }{ dx })\]