What is the difference betweenconditional input demand function and input demand function?

The input demand function represents the quantity of an input that a firm will purchase at various input prices, holding other factors constant, such as output level or technology. In contrast, the conditional input demand function specifies the quantity of an input demanded based on certain conditions, such as a predetermined level of output or other inputs being fixed. Essentially, the conditional input demand function is a more specific case of the input demand function, as it incorporates additional constraints or conditions influencing demand.