Differentiate x = sinhy with respect to x

x = sinhy=> dx/dy = coshycosh2y - sinh2y = 1=> sqrt(1 + sinh2y) = coshythus dx/dy = sqrt(1 + sinh2y)and dy/dx = 1/sqrt(1 + sinh2y)hence dy/dx = 1/sqrt(1+x2)

AN
Answered by Ayush N. Further Mathematics tutor

2542 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

A rectangular hyperbola has parametric equations x = 4t, y = 4/t , (z non 0). Points P and Q on this hyperbola have parameters t = 1/4 and t = 2. Find the equation of the line l which passes through the origin and is perpendicular to the line PQ.


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?


How does proof by induction work?


Prove by induction that the sum of the first n integers can be written as (1/2)(n)(n+1).


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