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:
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