1. The user asks to show only formulas in LaTeX and display them so they can be read directly. 2. To write formulas in LaTeX, use dollar signs $...$ for inline math and double dollar signs $$...$$ for display math. 3. For example, an inline formula: $a^2 + b^2 = c^2$. 4. A display formula example: $$\frac{d}{dx}e^x = e^x$$ 5. These formulas can be read directly as they are standard LaTeX math expressions. 6. If you want me to show formulas only, I can provide them in this format without extra explanation.