Find dy/dx when y = 4x^1/2

dy/dx means you have to differentiate the equation provided: y = 4x1/2When we differentiate with respect to x we must multiply the power by the coefficient: 1/2 = power by 4 = coefficient which equals 4 * 1/2 = 2We also have to reduce the power by 1: therefore we do 1/2 - 1 = -1Therefore dy/dx = 2x-1/2 Multiplying the coefficient by the power and reducing the power by 1 is a universal rule when dealing with simple differentiation.

Answered by Christopher B. Maths tutor

8881 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the equation of the tangent line to the graph of y=2x^4-7x^3+x^2+3x when x=5


Differentiate y=x^(-1/2)-x


What is the integral of 2x^5 - 1/4x^3 - 5


Using Discriminants to Find the Number of Roots of a Quadratic Curve


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