Please show work and explain why thank you!

6. (3 points) The equation y sinh(x) + x cosh(y) = 1 defines y as a function of x near (x, y) = (1,0). Find dy at x = 1. dx 2e 2e 2e (a) (b) (e) o. e2 - 1' e2 - 1' (c) 1, (d) e2 + 1