Differentiate y = lnx + 4x^2 + 3e^4x with respect to x

lnx differentiates to 1/x

4x^2 differentiates to 8x

3e^4x differentiates to 12e^4x

therefore the answer is: 1/x + 8x + 12e^4x

DS
Answered by Dhylon S. Maths tutor

4432 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

When performing differentiation in core 3, in what circumstances do I apply the chain, product and quotient rule?


Find the values of x and y for which dy/dx = 0 in y= x^3 - 4x^2 - 3x +2


Differentiate y=4x^2+3x+9


A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.


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:

© 2026 by IXL Learning