Differentiate y = e^(x^2 - 3x).

This question is an example of the chain rule for differentiating. 

Firstly, identify the inner function. In this case, it is x- 3x. This function must be differentiated first:

d/dx (x2 - 3x) = 2x - 3

Secondly, identify the outer function. In this case, it is ez, where z = x2 - 3x. This function must be differentiated second:

d/dz (ez) = e 

The final differentiated result is the derivative of the inner function multiplied by the derivative of the outer function:

dy/dx = (2x - 3)e= (2x - 3)ex^2 - 3x

Ellie S. IB Maths tutor, GCSE Maths tutor, IB Physics tutor, GCSE Phy...

4 months ago

Answered by Ellie, an IB Maths tutor with MyTutor

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


Rudolfs T. IB Physics tutor, IB Maths tutor
View profile
£22 /hr

Rudolfs T.

Degree: Physics with Theoretical Physics (Masters) - Manchester University

Subjects offered: Maths, Physics


“I am a theoretical physics student at the University of Manchester. Even though I'm only in my first year I've had a lot of interaction with science already. I have participated and obtained medals in the International Physics Olympia...”

Adriel A. 13 plus  Maths tutor, A Level Maths tutor, IB Maths tutor, ...
View profile
£20 /hr

Adriel A.

Degree: Computer Science (Bachelors) - Kings, London University

Subjects offered: Maths, Physics+ 2 more


“About me My long-lasting passion for sciences and mathematics as well as my recurring intuition for creative problem solving led me to study Computer Science at King's College London. I have taught in many different environments, fro...”

MyTutor guarantee

PremiumTom J. A Level Economics tutor, IB Economics tutor, GCSE Economics tu...
View profile
£24 /hr

Tom J.

Degree: MSc Ecological Economics (Masters) - Edinburgh University

Subjects offered: Maths, Philosophy+ 2 more


“I have fostered a passion for teaching ever since taking the opportunity to travel to China and teach at an English language school for Chinese pupils.  This experience not only massively broadened my horizons culturally, but also gav...”

About the author

Ellie S. IB Maths tutor, GCSE Maths tutor, IB Physics tutor, GCSE Phy...
View profile

Ellie S.

Currently unavailable: until 05/12/2016

Degree: Physics (Bachelors) - Oxford, Lady Margaret Hall University

Subjects offered: Maths, Physics+ 3 more

Further Mathematics
-Personal Statements-

“My Background: Hi! I'm Ellie, I'm 19, and I'm a Physics student at Oxford University. My strengths aremaths and physics, although I did a number of different subjects in sixth form, so I am also very familiar with Latin, English, and ...”

MyTutor guarantee

You may also like...

Posts by Ellie

A cricketer throws a ball vertically upwards so that the ball leaves his hands at a speed of 25 m/s. Calculate the maximum height reached by the ball, the time taken to reach max. height, and the speed of the ball when it is at 50% max. height.

Differentiate y = e^(x^2 - 3x).

Find cos4x in terms of cosx.

The tip of each prong of a tuning fork emitting a note of 320Hz vibrates in SHM with an amplitude of 0.50mm. What is the speed of each tip when its displacement is zero?

Other IB Maths questions

When do you use 'n choose k' and where does the formula come from?

Show that the following system of equations has an infinite number of solutions. x+y+2z = -2; 3x-y+14z=6; x+2y=-5

Differentiation from first principles

How do I solve the equation "2cos(x) = sin(2x), for 0 ≤ x ≤ 3π"?

View IB Maths tutors


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