'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

2426 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

The function f is defined for x > 0 by f (x) = x^1n x. Obtain an expression for f ′ (x).


Find the Taylor Series expansion of tan(x) about π/4 up to the term in terms of (x-π/4)^3.


The plane Π contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). What is the vector equation of the plane? and what is the cartesian equation of the plane?


Further Maths: How do you find the inverse of a 2 x 2 matrix?


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