Question

Find the derivative of y with respect to x.y = 9 sinh (x/5)

Answer 1

y = 9*Sinh(x/5)

We know that:

d(Sinh(u))/dx = du/dx*Cosh(u)

Then, we identify u = x/5 (from our problem):

du/dx = d(x/5)/dx = 1/5

=> dy/dx = d(9*Sinh(x/5))/dx = 9*d(Sinh(x/5))/dx = 9*Cosh(x/5)/5

The final answer is: