Answers>Maths>IB>Article

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

Answered by Ellie S. Maths tutor

9756 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

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


Solve the equation 8^(x-1) = 6^(3x) . Express your answer in terms of ln 2 and ln3 .


Differentiation from first principles


What is proof by induction and how do I employ it?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy