How does one find the derivative of ln(x)?


         y = ln(x)


         x = e^y

[ ln(x) = ln(e^y) = y ln(e) = y*1 = y ]

Taking the derivative of this we get

         dx/dy = e^y

Taking the reciprocal we get

         dy/dx = 1/e^y = 1/x

So the derivative of ln(x) is

         d(ln(x))/dx = 1/x

Anya K. A Level Maths tutor, GCSE Maths tutor, 13 plus  Maths tutor, ...

5 months ago

Answered by Anya, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Jan K.

Degree: Mathematics and Music (Bachelors) - Edinburgh University

Subjects offered: Maths, Physics


“About Myself I am a Mathematics student at Edinburgh University. I have a real passion for Mathematics, and I thouroughly enjoy explaining mathematical concepts to others. Having been home-educated all through school (which also gave ...”

MyTutor guarantee

£20 /hr

Andy C.

Degree: Maths and Philosophy (Bachelors) - Bristol University

Subjects offered: Maths


“Second year Maths and Philosophy student at Bristol. Looking to tutor Maths GCSE”

MyTutor guarantee

£20 /hr

Laura P.

Degree: Natural Sciences (Masters) - Lancaster University

Subjects offered: Maths


“Hi! I'm Laura, a Natural Scientist at Lancadter University, where I study Maths and Phyiscs. I have such a passion for these subjects that I hope my tutorials will be both engaging and interactive, because the best way of learning is ...”

MyTutor guarantee

About the author

Anya K.

Currently unavailable: for new students

Degree: Mathematics (Masters) - Bristol University

Subjects offered: Maths


“Hi! My name is Anya and I’m a 2nd year Mathematics student at the University of Bristol. I’m afriendly and patient individual, excited for the opportunity to aid pupils in the advancement of their mathematicalfluency and confidence, a...”

You may also like...

Posts by Anya

How does one find the derivative of ln(x)?

How does one find the highest common factor (HCF) and lowest common multiple (LCM) of 36 and 48?

How does one find the inverse of a non-singular 3x3 matrix A?

How does one show that x^2 + x + 1 > 0 for all values of x?

Other A Level Maths questions

A curve is described by the equation x^3 - 4y^2 = 12xy. a) Find the points on the curve where x = -8. b) Find the gradient at these points.

In integration, what does the +c mean and why does it disappear if you have limits?

How does one show that x^2 + x + 1 > 0 for all values of x?

Find the exact solution to: ln(x) + ln(7) = ln(21)

View A Level Maths tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss