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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
