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

The derivative of 1/(sinh(x)) is -coth(x)csch(x)

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

The first derivative of 1/(sinh(x)) is -coth(x)csch(x)

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

- coth (x) csch (x)

Solution steps

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

Simplify

\frac{1}{sinh ( x )} : csch (x)

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

Apply the common derivative:

\frac{d}{d x} (csch (x)) = - coth (x) csch (x)

= - coth (x) csch (x)

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 6

\frac{d}{d x} (\frac{d ^{2}}{d x ^{2}} (\frac{1}{x}) - ln (x))

x \to 0 lim ((\frac{4}{x} - 1) x)

5 x + x^{2}

\frac{d}{d x} (x (x - 4)^{\frac{1}{3}})

What is the derivative of 1/(sinh(x)) ?
The derivative of 1/(sinh(x)) is -coth(x)csch(x)
What is the first derivative of 1/(sinh(x)) ?
The first derivative of 1/(sinh(x)) is -coth(x)csch(x)