How do I prove that the differential of coshx is equal to sinhx?
Before this proof, it is important to appreciate that both of these hyperbolic functions can be written in terms of e^x. Therefore, before you begin to differentiate, you must represent coshx as (e^x + e^-x)/2. Then, this can easily be differentiated to give you the answer (e^x-e^-x)/2, which is the equivalent of sinhx.
TR
Answered by Thomasina R. • Further Mathematics tutor
3994 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸solve 3sinh^2(2x) + 11sinh(2x) = 4 for x, giving your answer(s) in terms of the natural log.
Let E be an ellipse with equation (x/3)^2 + (y/4)^2 = 1. Find the equation of the tangent to E at the point P where x = √3 and y > 0, in the form ax + by = c, where a, b and c are rational.
Find the set of values of x for which (x+4) > 2/(x+3)
Find all the cube roots of 1