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, ...

1 year ago

Answered by Anya, an A Level Maths tutor with MyTutor

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


£22 /hr

Lewis C.

Degree: Mathematics (Bachelors) - Cambridge University

Subjects offered:Maths, Further Mathematics + 3 more

Further Mathematics
-Oxbridge Preparation-

“Friendly first-year Mathematics student studying at Trinity College, Cambridge. Two years tutoring experience.”

MyTutor guarantee

|  8 completed tutorials

PremiumTimothy N. A Level Design & Technology tutor, GCSE Design & Technolog...
£36 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 3 more

Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my 200+ hours of experience, we will be able to surpass the grades you want!”

Madeleine N. A Level Maths tutor, 11 Plus Maths tutor, 13 Plus  Maths...
£24 /hr

Madeleine N.

Degree: Natural Sciences (Masters) - Durham University

Subjects offered:Maths, Spanish+ 3 more

Further Mathematics
-Personal Statements-

“Enthusiastic student, studying Maths and Physics at Durham university: keen to work hard with students to improve their results.”

About the author

Anya K.

Currently unavailable: for regular 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

How do you add or subtract complex numbers?

How do I differentiate f(x) = cos(x)/x?

Differentiate y = (x^2 + 3)^2

How do you find and solve a composite function?

View A Level Maths tutors

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