1. Preheat the oven to 350°F and line a baking sheet with parchment paper.

2. In a large mixing bowl, beat the softened butter, peanut butter, granulated sugar, and brown sugar until smooth and creamy.

3. Add the egg and vanilla extract, then mix until fully combined.

4. In a separate bowl, whisk together the flour, baking soda, baking powder, and salt.

5. Add the dry ingredients to the wet ingredients and mix just until a soft dough forms.

6. Scoop tablespoon-sized portions of dough, roll them into balls, and place them on the prepared baking sheet.

7. Use a fork to gently flatten each dough ball with a crisscross pattern.

8. Bake for 9 to 11 minutes, until the edges are set and lightly golden.

9. Let the cookies cool on the baking sheet for 5 minutes, then transfer them to a wire rack to cool completely.