differentiate y = 4x^3(12e^-4x) with respect to x

y = 4x3e-4x   u = 4x3  v = e-4x du/dx = 12x2 dv/dx = -4e-4x using the product rule; vdu +udv  vdu + udv = 12x2e-4x - 16x3e-4x

LM
Answered by Lewis M. Maths tutor

3696 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the values of x, where 0 < x < 360, such that x solves the equation: 8(tan[x])^2 – 5(sec[x])^2 = 7 + 4sec[x]


(https://qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2013/Exam-materials/6666_01_que_20160624.pdf) Question 6.(i)


A curve has equation 3x^4/3-16y^3/4=32. By differentiating implicitly find dy/dx in terms of x and y. Hence find the gradient of the curve at the point (8,1).


solve the equation 2cos x=3tan x, for 0°<x<360°


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