`y = ln(tanh(x/2))` Find the derivative of the function

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`y=ln(tanh(x/2))`

The derivative formula of natural logarithm is

  • `d/dx[ln(u)] = 1/u*(du)/dx`

Applying this formula, the derivative of the function will be

`y' = d/dx [ln(tanh(x/2))]`

`y' = 1/(tanh(x/2)) * d/dx[tanh(x/2)]`

To take the derivative of hyperbolic tangent, apply the formula

  • `d/dx[tanh(u)] = sec h^2 (u) * (du)/dx`

So y'...

(The entire section contains 177 words.)

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