Match List - I with List - II.

	List - I		List - II
(A)	For break-even point	(I)	$< 0$
(B)	For maxima $\frac{d^2y}{dx^2}$	(II)	$\frac{dy}{dx} = 0$
(C)	For points of maxima/minima	(III)	$R(x) - C(x)$
(D)	$P(x) =$ Profit function	(IV)	$R(x) = C(x)$

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Let C = C(x) be the total cost of producing x units of a product and AC is the average cost and MC is the marginal cost, then

Match List-I with List-II

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If $x = 6t^2$, $y = \frac{6}{t^2}$, then $\frac{d^2 y}{dx^2}$ is equal to :

The demand function P for maximising a profit monopolist is given by P=274-x², while the marginal cost is 4+3x for x units of commodity. The consumer surplus is

The second order derivative of the function $y=\log(4x^3+6)$ with respect to 'x' will be:

If $y = x^3 \log x$, then $\frac{d^2 y}{dx^2}$ is equal to :

For the function $f(x)=2x^3-21x^2+36x-5$, which of the following statements are correct ?

A. $x=2$ is a point of local maxima.

B. $x=6$ is a point of local minima.

C. The local maximum value is 12.

D. The local maximum value is –94.

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