Math & Science ⇒ beamer | Display Equation with labeled Terms

[latexhelp1]

I would like to show a series of equations on a beamer slide. In each overlay, I'd like to label terms in only the last equation. What is a neat way of doing this?

The equations are not well aligned. The equation being labeled -- the characters are too far apart and it does not look natural like an equation. The labels take up so much space on the page. They should be secondary.

Perhaps this method is just bad altogether.

Any help would be much appreciated!

Code: Select all

\documentclass[professionalfont, fleqn]{beamer}
\mode<presentation>
\usetheme{Warsaw}
\usetheme{CambridgeUS}
\usepackage{booktabs}
\usepackage{pgfplots}
\usetikzlibrary{positioning}
  
\begin{document}

\frame
{
\frametitle{Slide Title}
\begin{center}
    \begin{tikzpicture}[node distance=5mm and 0mm]
      \node[](a){$A(f)$};
       \node[left=of a.198](aa){$\displaystyle\max_f$};
       \hspace{-0.2cm} \node[right=of a](b){$= x(b) + \beta y(b)$};
     \end{tikzpicture}
     \begin{flushleft}\vspace{-1cm}\end{flushleft} 
       \begin{tikzpicture}[node distance=5mm and 0mm]
       \node[](g){where $y = \int_p^\infty z e^{-st}\,dr$};
       \end{tikzpicture}
      \begin{flushleft}\vspace{-0.5cm}\end{flushleft}
       \begin{tikzpicture}[node distance=5mm and 0mm]
       \node[](l){$ln(z) = q$};
       \node[right=of l](m){$(p(d), d)$};
       \node[above=of l, font=\small, text width=50mm, align=center](arrowl){description about the function, q: $q_p > 0$, $q_p > 0$, $q_{pp} < 0$, $q_{dd} < 0$, $q_{pd} > 0$};
       \node[below=of m, font=\small, text width=50mm, align=center](arrowm){text here about variable d and variable b: $d '(b) < 0$};
       \draw[->,color=red, thick](arrowl) -- (l);
       \draw[->,color=red, thick](arrowm) -- (m); 
       \end{tikzpicture}

\end{center}
}

\end{document}