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

8251 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove why the quadratic formula works


y=x^2 +4x-12, Find the Range (co-domain) when the domain of x is (1) -6 to 2 inclusive (2) the set of real numbers, R.


How can we determine stationary points by completing the square?


Solve the following simultaneous equations y + 4x + 1 = 0, y^2 + 5x^2 + 2x = 0


We're here to help

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