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

The derivative of (sinh(x)/(cosh(x))) is sech^2(x)

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

The first derivative of (sinh(x)/(cosh(x))) is sech^2(x)

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

sech^{2} (x)

Solution steps

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

Simplify

\frac{sinh ( x )}{cosh ( x )} : tanh (x)

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

Apply the common derivative:

\frac{d}{d x} (tanh (x)) = sech^{2} (x)

= sech^{2} (x)

\frac{d}{d x} (\frac{x - 10}{x - 10})

x \to \infty lim (2 + \frac{3}{x})

\int 12 x^{2} 1 - x^{2} d x

\int \frac{x + 5}{9 - ( x - 3 ) ^{2}} d x

\int_{- 1}^{2} \frac{5 y}{y ^{2} - y - 6} d y

What is the derivative of (sinh(x)/(cosh(x))) ?
The derivative of (sinh(x)/(cosh(x))) is sech^2(x)
What is the first derivative of (sinh(x)/(cosh(x))) ?
The first derivative of (sinh(x)/(cosh(x))) is sech^2(x)