'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
Related Further Mathematics A Level answers
All answers ▸Given the equation x^3-12x^2+ax-48=0 has roots p, 2p and 3p, find p and a.
Find the general solution to f''(x)+ 3f'(x)+ 2f(x)=0
Given sinhx = 0.5(e^x - e^-x), express its inverse, arcsinhx in terms of x.
Prove by induction that, for all integers n >=1 , ∑(from r=1 to n) r(2r−1)(3r−1)=(n/6)(n+1)(9n^2 -n−2). Assume that 9(k+1)^2 -(k+1)-2=9k^2 +17k+6