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

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

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

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

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\frac{d}{d x} (e^{t a n h (2 x)})

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

Solution steps

\frac{d}{d x} (e^{t a n h (2 x)})

Apply the chain rule:

e^{t a n h (2 x)} \frac{d}{d x} (tanh (2 x))

= e^{t a n h (2 x)} \frac{d}{d x} (tanh (2 x))

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

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

\int 1 - cos (6 x) d x

(0.5) (1.6)

\frac{d y}{d x} x^{3} + y^{3} = 6 x y

y^{^{'}} = \frac{x ( x ^{2} + 1 )}{4 y ^{3}}, y (0) = - \frac{1}{2}

\frac{\partial}{\partial x} ((a^{2} x^{2} + b^{2} y^{2})^{4})

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