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
4059 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Express sin(5theta) in terms of sin(theta) and powers of sin(theta) only.
Find the nth roots of unity.
Using de Moivre's theorem demonstrate that "sin6x+sin2x(16(sinx)^4-16(sinx)^2+3)"
A parabola with equation y^2=4ax for constant a is translated by the vector (2,3) to give the curve C. The curve C passes through the point (4,7), what is the value of a?