What is the derivative of 1/(cosh(x)) ?

The derivative of 1/(cosh(x)) is -sech(x)tanh(x)

What is the first derivative of 1/(cosh(x)) ?

The first derivative of 1/(cosh(x)) is -sech(x)tanh(x)

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\frac{d}{d x} (\frac{1}{cosh ( x )})

- sech (x) tanh (x)

Solution steps

\frac{d}{d x} (\frac{1}{cosh ( x )})

Simplify

\frac{1}{cosh ( x )} : sech (x)

= \frac{d}{d x} (sech (x))

Apply the common derivative:

\frac{d}{d x} (sech (x)) = - sech (x) tanh (x)

= - sech (x) tanh (x)

x \to 3 lim (\frac{10}{x - 3})

h = t^{2} (6 t - 4)^{3}

\frac{\partial}{\partial x} (3 ln (x) - 5)

\int \frac{x - 17}{x ^{2} + 1} d x

\frac{\partial}{\partial x} (x^{2} sin (3 x y))

What is the derivative of 1/(cosh(x)) ?
The derivative of 1/(cosh(x)) is -sech(x)tanh(x)
What is the first derivative of 1/(cosh(x)) ?
The first derivative of 1/(cosh(x)) is -sech(x)tanh(x)