Differentiate y=3xe^{3x^2}+2x

We differentiate y with respect to x:Firstly, we apply the Chain rule in the fist part of the RHS. Remembering the chain rule is uv -> u'v+uv', so d(3xe^{3x^2})/dx=3e^{3x^2}+18x^{2}e^{3x^2}now, we simply differentiate 2x to 2.Now combining our results:dy/dx = 3e^{3x^2}+18x^{2}e^{3x^2} + 2
Typically 4/5 marks for AS-level papers.

JA
Answered by John A Alejandro B. Maths tutor

3537 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Using the product rule, differentiate y=(2x)(e^3x)


A circle C has centre (-5, 12) and passes through the point (0,0) Find the second point where the line y=x intersects the circle.


Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


Why is the differential of a constant zero?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning