Differentiation Problem about a hyperbolic function

[apigban]

Homework Statement

How could one apply differentiation formulas on this one:

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

Homework Equations

The Attempt at a Solution

is this differentiation formula enough to differentiate:

 

[Mark44]

Homework Statement

How could one apply differentiation formulas on this one:

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

Homework Equations

The Attempt at a Solution

is this differentiation formula enough to differentiate:

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

 

[SammyS]

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

 

[HallsofIvy]

What is the derivative of A sinh(nx)?