Question

Hi everyone! For this parametric, find dy/dx x=sinh(t) y=cosh(t)...My final answer was tanh(t)...can anyone confirm that for me? Thanks! :o)

Answer 1

x = sinh(t)

dx/dt = cosh(t)


y = cosh(t)

dy/dt = sinh(t)

------------------------


dy/dx = (dy*dt)/(dt*dx)


dy/dx = (dy/dt)*(dt/dx)


dy/dx = (dy/dt)/(dx/dt)


dy/dx = sinh(t)/cosh(t)


dy/dx = tanh(t)


So it looks good to me

Answer 2

thanks! @jim_thompson5910

Answer 3

yw