Can you differentiate the following function using two methods:- y = e^(2x+1)

The first method to differentiate this fuction is the basic chain rule method. differentiate 2x+1 and add this to the front of the function. This gives us 2e^(2x+1). the other method to differentiate this function is by using logs. if you log both sides base of e (ln), you get ln(y) = 2x+1 and then differentiating both sides with respect to x gives (1/y)*dy/dx= 2. This when rearranged gives dy/dx = 2y and we know that y = e^(2x+1). We end up with the same solution as before.

RN
Answered by Rajenth N. Maths tutor

4282 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate y=x^2+4x+12


What is a derivative?


For y = 7x - x^3, find the two stationary points and what type of stationary points they are.


What is the "chain rule"?


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences