# What is the derivative of #tanh(x)#?

The derivative is:

Hyperbolic functions work in the same way as the "normal" trigonometric "cousins" but instead of referring to a unit circle (for

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The derivative of tanh(x) is sech^2(x), where sech(x) is the hyperbolic secant function defined as 1/cosh(x).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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