Texas Instruments recommends a star-ground layout, with the op-amp's ground pin connected to a central ground point, and the input and output traces kept short and away from noise sources.
The LME49725MA/NOPB has a high input impedance, but it still has a small input bias current. To minimize its effect, use a high-impedance source, and consider adding a bias current cancellation resistor in the input stage.
The maximum power dissipation for the LME49725MA/NOPB is 670mW, which is calculated based on the maximum junction temperature (150°C) and the thermal resistance (125°C/W) specified in the datasheet.
The LME49725MA/NOPB is rated for operation up to 125°C, but its performance may degrade at high temperatures. Consult the datasheet for temperature-related specifications and consider derating the device for high-temperature applications.
The output capacitor should be chosen based on the desired closed-loop bandwidth, output impedance, and stability requirements. A general rule of thumb is to use a capacitor with a value between 10nF and 100nF, and a voltage rating that exceeds the maximum output voltage.