__Category__: Differential Calculus, Algebra"Published in Newark, California, USA"

Find the derivative for

__Solution__:

Consider the given equation above

Take the derivative of the above equation with respect to x, we have

We can accept the above equation as a final answer but if you wish to substitute the value of hyperbolic cosine, you can also do that one. We know that

If

then

becomes

The other way of getting the derivative of the given equation is to eliminate the hyperbolic functions by substituting their equivalent value or identity. We know that

If

then substitute the value of hyperbolic sine of the above equation as follows

Take the derivative of the above equation with respect to x, we have