Differentiate sin(x)cos(x)

let sin(x)=u , let cos(x)=v

du/dx = cos(x),   dv/dx = -sin(x)

d[sin(x)cos(x)]/dx = v.du/dx + u.dv/dx

= cos^2(x) - sin^2(x)

JD
Answered by James D. Maths tutor

4588 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What are the different ways to solve a quadratic equation?


Solve the equation 10x + 4 = 12x + 2


A cuboid has length x cm. The width of the cuboid is 4 cm less than its length. The height of the cuboid is half of its length. The surface area of the cuboid is 90 cm^2 . Show that 2x^2 − 6x − 45 = 0


There are 7 white socks and 4 black socks. 2 are taken at random without replacement. What is the probablity that 2 socks of the same colour are taken?


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