Let $f(x) = x - \frac{1}{x}$,then $f^{\prime}(-1)$ is

For the differentiable function $f: R - \{0\} \rightarrow R$,let $3 f(x) + 2 f\left(\frac{1}{x}\right) = \frac{1}{x} - 10$. Then $\left|f(3) + f^{\prime}\left(\frac{1}{4}\right)\right|$ is equal to

If $y=5 \sin x+6 \cos x$,then $y^2+(y_1)^2=$ . . . . . .

The differential coefficient of the function $|x - 1| + |x - 3|$ at the point $x = 2$ is

The first derivative of the function $(\sin 2x \cos 2x \cos 3x + \log_2 2^{x+3})$ with respect to $x$ at $x = \pi$ is

Differentiate the function with respect to $x$: $\sin(x^{2}+5)$.