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Popular >

derivative of sech^2(3x)

Solution

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

Solution

- 6 sech^{2} (3 x) tanh (3 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sech (3 x)) = - sech (3 x) tanh (3 x) \cdot 3

= 2 sech (3 x) (- sech (3 x) tanh (3 x) \cdot 3)

Simplify

2 sech (3 x) (- sech (3 x) tanh (3 x) \cdot 3) : - 6 sech^{2} (3 x) tanh (3 x)

= - 6 sech^{2} (3 x) tanh (3 x)

Popular Examples

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\int \frac{2 x - 3}{x ^{2} + 4 x + 5} d x

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n = 2 \sum \infty \frac{- 1}{n}

derivative of (x^3-2x^2+2x-4/(x^2+2))

\frac{d}{d x} (\frac{x ^{3} - 2 x ^{2} + 2 x - 4}{x ^{2} + 2})

derivative of f(x)=(c^9-x^9)/(c^9+x^9)derivative of

f (x) = \frac{c ^{9} - x ^{9}}{c ^{9} + x ^{9}}

derivative of sqrt(1+36x)

\frac{d}{d x} (1 + 36 x)

Frequently Asked Questions (FAQ)

What is the derivative of sech^2(3x) ?
The derivative of sech^2(3x) is -6sech^2(3x)tanh(3x)
What is the first derivative of sech^2(3x) ?
The first derivative of sech^2(3x) is -6sech^2(3x)tanh(3x)