y = arcsec(x), Find dy/dx.

The key to this problem is to apply sec to both sides, and then differentiate implicitly: sec(y)=x; dsec(y)/dx = 1; tan(y)sec(y)dy/dx = 1; dy/dx = 1/(tan(y)sec(y)). Then using the fact that sec(y)=x and tan2x + 1 = sec2x, we can rewrite our derivative in terms of x only: dy/dx = 1/(x√(x2-1))

Answered by Nicholas Y. Maths tutor

3933 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate x*ln(x)


Find the integral of the following equation: y = cos^2(x)


By completing the square, find the values of x that satisfy x^4 -8x^2 +15 = 0


Calculate the distance of the centre of mass from AB and ALIH of the uniform lamina.


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