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Popular >

derivative of sech^2(x-1)

Solution

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

Solution

- 2 sech^{2} (x - 1) tanh (x - 1)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sech (x - 1) (- sech (x - 1) tanh (x - 1))

Simplify

2 sech (x - 1) (- sech (x - 1) tanh (x - 1)) : - 2 sech^{2} (x - 1) tanh (x - 1)

= - 2 sech^{2} (x - 1) tanh (x - 1)

Graph

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\frac{d}{d x} (ln (3^{x^{2}}))

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Frequently Asked Questions (FAQ)

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