# Differentiation Problem about a hyperbolic function

1. Aug 5, 2011

### apigban

1. The problem statement, all variables and given/known data

How could one apply differentiation formulas on this one:

$\partial^{2}\left(2sinh(nx)\div\sqrt{sinh(2L)-2L}\right)\div\partial x^{2}$

2. Relevant equations

3. The attempt at a solution

is this differentiation formula enough to differentiate:

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Aug 5, 2011

### Staff: Mentor

Take the partial with respect to x of your expression, and then take the partial with respect to x of the result.

Here is your problem presented in a more usual form:
$$\frac{\partial^2}{\partial x^2} \left(\frac{2sinh(nx)}{\sqrt{sinh(2L)-2L}}\right)$$

3. Aug 5, 2011

### SammyS

Staff Emeritus
Only the numerator has an x in it. Why use the quotient rule?

4. Aug 5, 2011

### HallsofIvy

Staff Emeritus
What is the derivative of A sinh(nx)?