MYTUTOR SUBJECT ANSWERS

277 views

Differentiate a^x

1. Set y=a^x

2. Take the natural log of both sides: ln(y)=ln(a^x)

3. Using the log rules, simplify: ln(y)=xln(a)

4. Differentiate both sides with respect to x: 1/y dy/dx=lna+0

5. Rearrange: dy/dx=yln(a)

6. Using the definition of 'y' set in step 1: dy/dx=a^(x)ln(a)

Hafsah K. 11 Plus Maths tutor, 13 plus  Maths tutor, A Level Maths tu...

7 months ago

Answered by Hafsah, an A Level Maths tutor with MyTutor


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

256 SUBJECT SPECIALISTS

£20 /hr

Yusuf C.

Degree: Mathematics (Bachelors) - Liverpool University

Subjects offered: Maths

Maths

“I am an enthusiastic and passionate maths tutor who is dedicated to help you improve your grades”

MyTutor guarantee

£20 /hr

Thomas P.

Degree: Masters in Mathematics (Masters) - Oxford, Oriel College University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“About Me: I am a Maths student at Oxford University. Whilst I love learning about, talking about, and generally engaging with Mathematics, that's not all I do! Outside of studying I enjoy board games, and I play squash for the Univers...”

£20 /hr

Visitation L.

Degree: Biomedical sciences (Bachelors) - Durham University

Subjects offered: Maths, Biology

Maths
Biology

“Hi, I am Visitation, a second year Biomedical scientist at Durham. Science and Maths are such fascinating subjects and I would like to share my passion and help you through my tutorials!”

About the author

Hafsah K.

Currently unavailable: for new students

Degree: Mechanical Engineering (Masters) - Nottingham University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Chemistry

“About Me:  I study Mechanical Engineering at the University of Nottingham. Maths and science have always been my favourite subjects, and I hope to share my passion for them with you! I have hadprevious experience in tutoring with two ...”

You may also like...

Posts by Hafsah

Describe and explain some of the factors that affect polymer properties.

Differentiate a^x

Explain what is meant by resonance.

Solve 13+4x=7-4x

Other A Level Maths questions

How would I differentiate cos(2x)/x^1/2

Find the set of values of x for which 3x^2+8x-3<0.

Why is it that sin^2(x) + cos^2(x) = 1?

Integrate 8x^3+4 with respect to x.

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