<prompt> Fumana motsoako oa fx x3 5x 10fx x3 5x 10  <response>: Instruction in English: Find the derivative of fx x3 5x 10 . Response in English: The derivative of a function calculates its instantaneous rate of change at any given point. The mathematical tool for determining the derivative of a function is differentiation. Using the power rule of differentiation, the general formula for finding the derivative of a function in the form of fx xn, where n is a constant, is given as fx nxn-1. Using the rule above, the given function, fx x3 5x 10, can be differentiated as:fx ddx x3 ddx5x ddx10where ddx means derivative with respect to x.Then, applying the power rule, we can compute each derivative:fx 3x3-1 5x1-1 0 3x2 5 0 3x2 5So the derivative of the function fx x3 5x 10 is fx 3x2 5. . Response in Sesotho: Motsoako oa tšebetso o lekanya sekhahla sa phetoho hanghang sebakeng sefe kapa sefe. Sesebediswa sa dipalo sa ho fumana hore na ntho e tswang ho tshebetso ke efe. Ho sebelisoa molao oa matla oa ho khetholla, mokhoa o akaretsang oa ho fumana motsoako oa tšebetso ka mokhoa oa fx xn, moo n e leng ntho e sa fetoheng, e fanoa joalo ka fx nx n-1. Ka ho sebelisa molao o ka holimo, mosebetsi o fanoeng, fx x3 5x 10, o ka aroloa e le: fx ddx x3 ddx5x d dx10 moo ddx e bolelang derivative mabapi le x. Joale, ha re sebelisa molao oa matla, re ka kopanya motsoako ka mong: fx 3x3-1 5x1-1 0 3x2 5 0 3x 2 5 Kahoo motsoako oa mosebetsi fx x3 5x 10 ke fx 3x2 5. 