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

4557 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express cos(2x) in the form acos^2(x) + b, where a and b are constants.


The graph with equation y= x^3 - 6x^2 + 11x - 6 intersects the x axis at 1, find the other 2 points at which the graph intersects the x axis


what is implicit differentiation and how is it achieved?


Express the following in partial fractions: (x^2+4x+10)/(x+3)(x+4)(x+5)


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