Question

Differentiate following with respect to x
23) 1/x ln x

Answer 1

@ganeshie8

Answer 2

\[\frac{1}{x}\ln(x) \text{ or } \frac{1}{x \ln(x) }\]

Answer 3

\[d(\left(\frac{1}{x} \ln(x)\right)\]\[f=\frac{1}{x} \implies x^{-1}\]\[g=\ln(x)\]

Answer 4

product rule

Answer 5

So product rule states: \(f'g + g'f\)\[d(f(x))=(x^{-1})'(\ln(x)) + (x^{-1})(\ln(x))'\]

Answer 6

Can you take it from here

Answer 7

Trying to understand...

Answer 8

Hmmm.. This is easy!

Answer 9

Take the derivative of what i labeled as \(f\) and multiply it by function \(g\) , then take the derivative of \(g\) and multiply it by \(f\)