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Popular >

derivative of (sech(2x)^2)

Solution

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

Solution

- 4 sech^{2} (2 x) tanh (2 x)

Solution steps

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

Apply the chain rule:

2 sech (2 x) \frac{d}{d x} (sech (2 x))

= 2 sech (2 x) \frac{d}{d x} (sech (2 x))

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

= 2 sech (2 x) (- sech (2 x) tanh (2 x) \cdot 2)

Simplify

2 sech (2 x) (- sech (2 x) tanh (2 x) \cdot 2) : - 4 sech^{2} (2 x) tanh (2 x)

= - 4 sech^{2} (2 x) tanh (2 x)

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Frequently Asked Questions (FAQ)

What is the derivative of (sech(2x)^2) ?
The derivative of (sech(2x)^2) is -4sech^2(2x)tanh(2x)
What is the first derivative of (sech(2x)^2) ?
The first derivative of (sech(2x)^2) is -4sech^2(2x)tanh(2x)