<prompt> Karolo ea karolo e tsoang ho 3x2y mabapi le x ke efe?nan  <response>: Instruction in English: What is the partial derivative of 3x2y with respect to x? . Response in English: The partial derivative of 3x2y with respect to x, commonly written as 3x2y x or f x, is obtained by taking the derivative of the function with respect to x treating any other variables as constants. The constant rule and the power rule for derivative can be applied. So, 3x2y x 3 x2 y x 3 y x2 x multiplyingdividing constant 3 y 2x 6xyTherefore, the partial derivative of 3x2y with respect to x is represented as 3x2y x6xy. . Response in Sesotho: Karolo e ngoe e tsoang ho 3x2y mabapi le x, e atisang ho ngoloa e le 3x2y x kapa f x, e fumanoa ka ho nka karolo e nkiloeng ea tšebetso ka tlhompho. ho x ho nka mefuta efe kapa efe e fapaneng joalo ka lintho tse sa fetoheng. Ho ka sebelisoa molao oa kamehla le molao oa matla bakeng sa derivative. Kahoo, 3x2y x 3 x2 y x 3 y x2 x ho atisa ho arola kamehla 3 y 2x 6xy Ka hona, karolo e nkiloeng ho 3x2y mabapi le x e emeloa e le 3x2y x6xy. 