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

If $f$ and $g$ are differentiable functions such that $g'(a) = 2$ and $g(a) = b$,and if $f \circ g$ is an identity function,then $f'(b)$ has the value equal to:

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

Let $f$ and $g$ be differentiable functions on $R$ such that $f \circ g$ is the identity function. If for some $a, b \in R$,$g^{\prime}(a) = 5$ and $g(a) = b$,then $f^{\prime}(b)$ is equal to

If $y = |\cos 4x| + |\sin 4x| + |\tan 4x|$,then find $\frac{dy}{dx}$ at $x = \frac{\pi}{6}$.

Find the derivative of the function: $\frac{x^{2} \cos \left(\frac{\pi}{4}\right)}{\sin x}$