What is the derivative of tanh(2x-3) ?

The derivative of tanh(2x-3) is sech^2(2x-3)*2

What is the first derivative of tanh(2x-3) ?

The first derivative of tanh(2x-3) is sech^2(2x-3)*2

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\frac{d}{d x} (tanh (2 x - 3))

sech^{2} (2 x - 3) \cdot 2

Solution steps

\frac{d}{d x} (tanh (2 x - 3))

Apply the chain rule:

sech^{2} (2 x - 3) \frac{d}{d x} (2 x - 3)

= sech^{2} (2 x - 3) \frac{d}{d x} (2 x - 3)

\frac{d}{d x} (2 x - 3) = 2

= sech^{2} (2 x - 3) \cdot 2

What is the derivative of tanh(2x-3) ?
The derivative of tanh(2x-3) is sech^2(2x-3)*2
What is the first derivative of tanh(2x-3) ?
The first derivative of tanh(2x-3) is sech^2(2x-3)*2