If $f(x) = mx + c$,$f(0) = 1$,and $f'(0) = 1$,then find the value of $f(2)$.

$\frac{d}{dx} [3 \sin(60^{\circ} - x^{\circ}) - 4 \cos^3(30^{\circ} + x^{\circ})] = \rule{1cm}{0.15mm}$

Derivative of $e^x$ with respect to $\sqrt{x}$ is

If $f(x) = \frac{1}{1 + \frac{1}{x}}$ and $g(x) = \frac{1}{1 + \frac{1}{f(x)}}$,then $g^{\prime}(2)$ is equal to

Let $h(x)$ be differentiable for all $x$ and let $f(x) = (kx + e^x) h(x)$ where $k$ is some constant. If $h(0) = 5$,$h'(0) = -2$,and $f'(0) = 18$,then the value of $k$ is equal to

The derivative of $F[f\{ \phi (x)\} ]$ with respect to $x$ is: