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

4956 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?


In a school 2/5 students play an instrument. Of those students 3/7 play the violin. Find the ratio of students who play the violin compared to the students who do not play the violin.


Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.


What is compound interest?


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:

© 2025 by IXL Learning