Continuity of a function also implies its differentiability. True, false or uncertain. Give reason.
AND Check whether the function, f(x) =
x
2−7x+12
x−3
, is continuous at x = 3.
AND ALSO Use derivative to show that when average revenue falls, average revenue is greater than
marginal revenue.
AND Use Jacobian determinant to test the existence of functional dependence between the
following paired functions.
y1 = 3x1
2 + 2x2
2 y2 = 5x1 + 2x2/2