Find the difference quotient of f(x)equals=x squared plus 1x2+1; that is find startfraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis over h endfraction f(x+h)−f(x) h, hnot equals≠0.

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827