What is the derivative of e^{tanh(x}) ?

The derivative of e^{tanh(x}) is e^{tanh(x)}sech^2(x)

What is the first derivative of e^{tanh(x}) ?

The first derivative of e^{tanh(x}) is e^{tanh(x)}sech^2(x)

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\frac{d}{d x} (e^{t a n h (x)})

e^{t a n h (x)} sech^{2} (x)

Solution steps

\frac{d}{d x} (e^{t a n h (x)})

Apply the chain rule:

e^{t a n h (x)} \frac{d}{d x} (tanh (x))

= e^{t a n h (x)} \frac{d}{d x} (tanh (x))

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

= e^{t a n h (x)} sech^{2} (x)

1 + x

\frac{d y}{d x} = - \frac{5 y}{50 + x}

y = e^{7 e^{x}}

\int 24 t^{2} + 16 t d t

f (x) = x^{2} + 24, at x = 5

What is the derivative of e^{tanh(x}) ?
The derivative of e^{tanh(x}) is e^{tanh(x)}sech^2(x)
What is the first derivative of e^{tanh(x}) ?
The first derivative of e^{tanh(x}) is e^{tanh(x)}sech^2(x)