'Find the first derivative, with respect to x, of arctan(1/x) for non-zero real x. Hence show that the value of arctan(x)+arctan(1/x) is constant for all non-zero x, explicitly stating this constant in your final answer.' How do I solve this?

I have linked the solution to this problem here.

https://www.icloud.com/iclouddrive/0mLKDeFREhbvTJm6D09jFakcw#Solution

Answered by Further Mathematics tutor

2592 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

What are the conditions required for the poisson distribution?


Using the substitution u = ln(x), find the general solution of the differential equation y = x^2*(d^2(y)/dx^2) + x(dy/dx) + y = 0


A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).


A curve has polar equation r = 1 + cos THETA for 0 <= THETA <= 2Pi. Find the area of the region enclosed by the curve


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:

© 2026 by IXL Learning