MYTUTOR SUBJECT ANSWERS

119 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 ...

3 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

183 SUBJECT SPECIALISTS

£20 /hr

Ross G.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.STEP.

“I am a maths student at Durham University. I love maths and I love studying it, both now and at A levels. I know that maths isn’t for everybody but I hope that in my tutorials I can help you learn the content and, maybe, you can learn ...”

£20 /hr

Ellie B.

Degree: Mathematics (Masters) - York University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi, my name is Ellie and I am currently studying Mathematics at the University of York. I chose York because I felt a real connection with the teachers, they made maths fun, interesting and easy. That's what I hope to do with all my s...”

MyTutor guarantee

£20 /hr

Oliver P.

Degree: Biology (Masters) - Bristol University

Subjects offered: Maths, Science+ 5 more

Maths
Science
Human Biology
Further Mathematics
Extended Project Qualification
Chemistry

“The tutor: I am a Biology MSci student at Bristol University and have a deep curiosity and passion for multiple fields of science and technology. I am patient and have a lot of experience teaching children in the age range of 11-...”

About the author

£20 /hr

Alex C.

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...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Find the exact value of the gradient of the curve y = e^(2- x)ln(3x- 2). at the point on the curve where x = 2.

How do you integrate e^x cos x

What is an integral?

Two lines have equations r = (1,4,1)+s(-1,2,2) and r = (2,8,2)+t(1,3,5). Show that these lines are skew.

View A Level Maths tutors

Cookies:

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

mtw:mercury1:status:ok