How can I change font size on x-y labels

Question

I have the following code which I copied from here How to draw the unit hyperbola in LaTex?, and rotated it. The axis labels font is too large. Going through the manual and deveral posts, am not able to settle my problem. I tried to put {font size=tiny at various location, nothing changes. Help will be appreciated

\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{width=5cm,compat=1.12}
% axis style, ticks, etc
\pgfplotsset{every axis/.append style={font=\tiny}{
axis x line=middle,    % put the x axis in the middle
axis y line=middle,    % put the y axis in the middle
axis line style={->}, % arrows on the axis
`xlabel={\footnotesize$x^{'}$},          % default put x `on x-axis
                ylabel={\footnotesize$y^{'}$},{font=\tiny}          % 
default put y on y-axis
                rotate=40.0}}
% arrows as stealth fighters
\tikzset{>=stealth}
\begin{document}
\begin{tikzpicture}
    \begin{axis}[
            xmin=-5,xmax=5,
        ymin=-5,ymax=5]
        \addplot [red,domain=-2:2] ({cosh(x)}, {sinh(x)});
    \addplot [red,domain=-2:2] ({-cosh(x)}, {sinh(x)});
    \addplot[red,dashed] expression {x};
    \addplot[red,dashed] expression {-x};
\end{axis}
\end{tikzpicture}

\end{document}

Answer 1

You can modify font size of labels and tick labels with label style={font=\tiny} and tick label style={font=\tiny}

\documentclass[tikz]{standalone}
\usepackage{pgfplots}

% axis style, ticks, etc
\pgfplotsset{every axis/.append style={
                    axis x line=middle,    % put the x axis in the middle
                    axis y line=middle,    % put the y axis in the middle
                    axis line style={<->}, % arrows on the axis
                    xlabel={$x$},          % default put x on x-axis
                    ylabel={$y$},          % default put y on y-axis
                    label style={font=\tiny},
                    tick label style={font=\tiny}  
                    }}

% arrows as stealth fighters
\tikzset{>=stealth}

\begin{document}

\begin{tikzpicture}
    \begin{axis}[
            xmin=-5,xmax=5,
        ymin=-5,ymax=5]
        \addplot [red,thick,domain=-2:2] ({cosh(x)}, {sinh(x)});
        \addplot [red,thick,domain=-2:2] ({-cosh(x)}, {sinh(x)});
        \addplot[red,dashed] expression {x};
        \addplot[red,dashed] expression {-x};
    \end{axis}
\end{tikzpicture}

\end{document}