What is the derivative of (sqrt(2)tanh(x)/2) ?

The derivative of (sqrt(2)tanh(x)/2) is (sech^2(x))/(sqrt(2))

What is the first derivative of (sqrt(2)tanh(x)/2) ?

The first derivative of (sqrt(2)tanh(x)/2) is (sech^2(x))/(sqrt(2))

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

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

Simplify

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

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

\frac{d}{d y} (tan (y))

\int \frac{x ^{2} - 3 x - 1}{x ^{3} + x ^{2} - 2 x} d x

\int_{0}^{8} y^{2} (8 - y) d y

4 x - 5 x^{\frac{3}{4}}

What is the derivative of (sqrt(2)tanh(x)/2) ?
The derivative of (sqrt(2)tanh(x)/2) is (sech^2(x))/(sqrt(2))
What is the first derivative of (sqrt(2)tanh(x)/2) ?
The first derivative of (sqrt(2)tanh(x)/2) is (sech^2(x))/(sqrt(2))