What is the derivative of tanh(x-1) ?

The derivative of tanh(x-1) is sech^2(x-1)

What is the first derivative of tanh(x-1) ?

The first derivative of tanh(x-1) is sech^2(x-1)

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\frac{d}{d x} (tanh (x - 1))

sech^{2} (x - 1)

Solution steps

\frac{d}{d x} (tanh (x - 1))

Apply the chain rule:

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

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

\frac{d}{d x} (x - 1) = 1

= sech^{2} (x - 1) \cdot 1

Simplify

= sech^{2} (x - 1)

\frac{d}{d x} (x^{2} - x^{4})

x^{4} - 4 x^{2} + 2, x^{2} - 2, - 2, - 1

y^{^{'}} = e^{\frac{y}{x}} + \frac{y}{x}

x^{2} e^{2 x}

\int (4 x) d x

What is the derivative of tanh(x-1) ?
The derivative of tanh(x-1) is sech^2(x-1)
What is the first derivative of tanh(x-1) ?
The first derivative of tanh(x-1) is sech^2(x-1)