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

f (x) = x^{2} + x, (1, 2)

(- 1, - 4), (0, 2)

- x^{2} + 3 x + 1, - x - 1, [0, 4]

\int \frac{- 3}{x} d x

\int \frac{4 t - 3}{t + 1} d t

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