Differentiate ln(x)/x

To differentiate this, we use the quotient rule as we have 2 functions of x as a fraction.

The quotient rule states that:

where u is the numerator function and v is the denominator function.

Therefore, u=ln x and v=x.

So:

as that is the derivative of ln x.

And:

as that is the derivative of x.

Substituting these values into the quotient rule equation we have the following answer to this question:


Answered by Charlie E. Maths tutor

6646 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Why maths is so hard sometimes?


Find dy/dx when y = 2ln(2e-x)


Find the equation of the tangent to the curve y=3x^2-7x+5 at the point (2, 3) .


Find the Binomial Expansion of (1-5x)^4.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy