DERIVATIVES OF HYPERBOLIC FUNCTIONS

Here is a list of the the most frequently needed derivative formulas for hyperbolic functions.

(sinh x)' = cosh x

(cosh x)' = sinh x

(tanh x)' = sech2 x

(csch x)' = -csch x ⋅ coth x

(sech x)' = -sech x ⋅ tanh x

(coth x)' = -csch2 x

Derivative of Sin Hyperbolic x

We know the following formula for sin hyperbolic x.

Find the derivative on both sides with respect to x.

Derivative of Cos Hyperbolic x

We know the following formula for cos hyperbolic x.

Find the derivative on both sides with respect to x.

Derivative of Tan Hyperbolic x

Find the derivative with respect to x using quotient rule.

Derivative of Csc Hyperbolic x

Find the derivative with respect to x using quotient rule.

Derivative of Sec Hyperbolic x

Find the derivative with respect to x using quotient rule.

Derivative of Cot Hyperbolic x

Find the derivative with respect to x using quotient rule.

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