MYTUTOR SUBJECT ANSWERS

403 views

How do you differentiate a^x?

The quick answer is that d/dx a^x = ln(a) * a^x. But why?

Well, let's go through the steps so we can understand why the formula works.

Firstly, a^x can be written as (e^(ln(a)))^x because e^(ln(z)) = z as the natural log (ln) is the inverse of e to the power. Then we can write it as e^(x * ln a) because (a^b)^c = a^(b*c). Then differentiating e^(x * ln a) = ln(a) * a^x!

Kian M. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathemati...

8 months ago

Answered by Kian, who has applied to tutor A Level Maths with MyTutor


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

269 SUBJECT SPECIALISTS

£24 /hr

Tiarnan B.

Degree: MChem (Masters) - York University

Subjects offered:Maths, Geography+ 2 more

Maths
Geography
Chemistry
-Personal Statements-

“I am a fun, open and qualified tutor. I guarantee by choosing me you will reach where you want to be and beyond, all while enjoying the subject!”

£22 /hr

Chris S.

Degree: Psychology (Bachelors) - Nottingham University

Subjects offered:Maths, Psychology+ 1 more

Maths
Psychology
-Personal Statements-

“*Over 25 completed MyTutor school tutorials* I am a reliable and enthusiastic maths and psychology tutor.”

£20 /hr

Juris B.

Degree: Computer Science (Bachelors) - St. Andrews University

Subjects offered:Maths, Computing

Maths
Computing

“I am a Computer Science at the University of St. Andrews. Before that however, I was a pupil in a school in the North-East of Scotland. With the combined passion and availability of superb teachers - I was given an opportunity to exce...”

About the author

£20 /hr

Kian M.

Degree: Computing (Bachelors) - Imperial College London University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other A Level Maths questions

A circle C with centre at the point (2, –1) passes through the point A at (4, –5).....

Form the differential equation representing the family of curves x = my , where, m is arbitrary constant.

How/when should I use the product rule for differentiation?

Differentiate ln(x)/x

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

mtw:mercury1:status:ok