Производная tanh(cos(x))

Вы ввели

tanh(cos(x))

$$\tanh{\left (\cos{\left (x \right )} \right )}$$

Первая производная

 /        2        \       
-\1 - tanh (cos(x))/*sin(x)

$$- \left(- \tanh^{2}{\left (\cos{\left (x \right )} \right )} + 1\right) \sin{\left (x \right )}$$

Вторая производная

/         2        \ /     2                         \
\-1 + tanh (cos(x))/*\2*sin (x)*tanh(cos(x)) + cos(x)/

$$\left(2 \sin^{2}{\left (x \right )} \tanh{\left (\cos{\left (x \right )} \right )} + \cos{\left (x \right )}\right) \left(\tanh^{2}{\left (\cos{\left (x \right )} \right )} - 1\right)$$

Третья производная

/         2        \ /          2    /         2        \        2        2                                \       
\-1 + tanh (cos(x))/*\-1 + 2*sin (x)*\-1 + tanh (cos(x))/ + 4*sin (x)*tanh (cos(x)) + 6*cos(x)*tanh(cos(x))/*sin(x)

$$\left(\tanh^{2}{\left (\cos{\left (x \right )} \right )} - 1\right) \left(2 \left(\tanh^{2}{\left (\cos{\left (x \right )} \right )} - 1\right) \sin^{2}{\left (x \right )} + 4 \sin^{2}{\left (x \right )} \tanh^{2}{\left (\cos{\left (x \right )} \right )} + 6 \cos{\left (x \right )} \tanh{\left (\cos{\left (x \right )} \right )} - 1\right) \sin{\left (x \right )}$$