Differentiate 4x^2 + 2ln3x + e^x

To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1

ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x

e^x differentiates to (d/dx(x))e^x = 1e^x

Therefore, d/dx(4x2 + 2ln3x + ex) = 4(2x) +2(1/x) + ex = 8x + 2/x + ex

Answered by Thomas M. Maths tutor

6785 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express 9^(3x + 1) in the form 3^y , giving y in the form ax + b, where a and b are constants.


Find the equation of the straight line passing through the origin that is tangent to the curve y = ln(x).


dy/dx = y3xcos2x, given that when x = π/6, y = e, solve this differential equation, giving y in terms of x


Given y = 2x^2 + 3x + 2 find dy/dx


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 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences