MYTUTOR SUBJECT ANSWERS

205 views

How do you differentiate 2^x?

We can differentiate this implicitly by writing the question as:

y = 2

Then we take the log of both sides:

ln(y) = ln(2x)

Using the rules of logartithms this can be written as:

ln(y) = x ln(2)

Now we can differentiate this easily:

y-1 dy/dx = ln(2)

We can now re-arrange to get:

dy/dx = y ln(2)

And finally we can substitute y to get our answer:

dy/dx = 2ln(2)

So we have shown that the derrivative of 2x is simply 2x multiplied by ln(2)

Alex C. GCSE Further Mathematics  tutor, A Level Further Mathematics ...

5 months ago

Answered by Alex, an A Level Maths tutor with MyTutor


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

294 SUBJECT SPECIALISTS

£20 /hr

Ellie B.

Degree: Mathematics (Masters) - York University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I study Maths at York University; I chose York because I loved the lecturers, they made maths fun and easy- that's what I hope to do with all my students!”

Sam C. GCSE Maths tutor, 13 Plus  Maths tutor, 11 Plus Maths tutor, A...
£20 /hr

Sam C.

Degree: Physics (Masters) - Oxford, Trinity College University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
.PAT.
-Oxbridge Preparation-

“Maths and Physics hold the tools to unravelling the mysteries of the universe! I hope you enjoy unlocking these tools as much as I do!”

£20 /hr

Rahul P.

Degree: Economics (Bachelors) - LSE University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“I'm enthusiastic about Maths and I think my 598/600 UMS in Maths A Level puts me in a strong position to help others.”

MyTutor guarantee

About the author

Alex C.

Currently unavailable: for regular students

Degree: Natural Sciences (Bachelors) - University College London University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Further Mathematics
Chemistry
.BMAT (BioMedical Admissions)

“Hi, I'm a first year undergraduate at University College London studying Natural Sciences. I've always had a passion for science and think that tutoring is a great way to bring that across and inspire it in others.  In the past I've t...”

You may also like...

Other A Level Maths questions

What is the chain rule and how does it work?

What is the importance of the Central Limit Theorem in carrying out hypothesis tests?

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

differentiate y=e^2x

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