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
3886 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Find the eigenvalues and eigenvectors of the following 3x3 matrix (reading left to right, top to bottom): (1 0 2 3 1 1 2 0 1)
How to approximate the Binomial distribution to the Normal Distribution
The curve C has parametric equations x=cos(t)+1/2*sin(2t) and y =-(1+sin(t)) for 0<=t<=2π. Find a Cartesian equation for C. Find the volume of the solid of revolution of C about the y-axis.
Find the Cartesian equation of a plane containing the points A(1, 7, -2) B(4, -3, 2) and C(7, 8, 9).