MYTUTOR SUBJECT ANSWERS

577 views

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...

1 year ago

Answered by Ellie, an IB Maths tutor with MyTutor


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

42 SUBJECT SPECIALISTS

£20 /hr

Ayokansola A.

Degree: Civil and Structural Engineering with a Year in Industry (Masters) - Sheffield University

Subjects offered:Maths, Spanish+ 4 more

Maths
Spanish
Science
Physics
English
Economics

“About Me: Hello! I am a Civil Engineering student at the University of Sheffield. I have always had a natural incline towards all things Maths and Science, so without a doubt, my genuine passion for the subjects’ I am offering will be...”

£20 /hr

Mihai P.

Degree: Natural Sciences (Bachelors) - Cambridge University

Subjects offered:Maths, Chemistry+ 2 more

Maths
Chemistry
Biology
-Medical School Preparation-

“I would like to share my passion for science and help you discover the key patterns which govern our world.”

£30 /hr

Tadas T.

Degree: MMathPhil Mathematics and Philosophy (Bachelors) - Oxford, St Anne's College University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.MAT.
-Personal Statements-
-Oxbridge Preparation-

“University of Oxford Maths and Philosophy student happy to help students learn and stay motivated!”

About the author

Ellie S.

Currently unavailable: for new students

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

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Further Mathematics
.PAT.
-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 ...”

Trusted by schools

|  2 completed tutorials

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

Solve the equation (2 cos x) = (sin 2 x) , for 0 ≤ x ≤ 3π .

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

A scalene triangle has base of 5cm. The angle opposite to the base is 63°, and a second angle is 72°. Find the area of the traingle

Find the area under the curve of f(x)=4x/(x^2+1) form x = 0 to x = 2.

View IB 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