< 1 >
Derivative of the hyperbolic secant
The first derivative of the hyperbolic secant is
Explanation
We start with the definition of the hyperbolic secant
Differentiation gives
Now we apply the quotient rule
so that
< 1 >
The first derivative of the hyperbolic secant is
We start with the definition of the hyperbolic secant
Differentiation gives
Now we apply the quotient rule
so that