Find the derivative of the following function: $2 \tan x - 7 \sec x$.

If $y = \sec(x^{\circ})$,then $\frac{dy}{dx} = $

Let $f:R \to R$ be such that $f(1) = 3$ and $f'(1) = 6$. Then $\lim_{x \to 0} \left\{ \frac{f(1 + x)}{f(1)} \right\}^{\frac{1}{x}}$ equals

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

Find the derivative of the following function: $\frac{a}{x^{4}}-\frac{b}{x^{2}}+\cos x$,where $a$ and $b$ are fixed non-zero constants.

If $y = \frac{(a - x)\sqrt{a - x} - (b - x)\sqrt{x - b}}{\sqrt{a - x} + \sqrt{x - b}}$,then $\frac{dy}{dx}$ wherever it is defined is equal to: