Match List - I with List - II.

	List - I		List - II
(A)	If $y = x^2 - 8$ and $\frac{dy}{dx} = 0$, then $x = ?$	(I)	1
(B)	If $p(x) = 3x + 1$, then $R(x)$ at $x = 2$	(II)	0
(C)	If $y = x^3$, then $\frac{dy}{dx}$ at $x = -1$	(III)	14
(D)	If $C(x) = 100 + 5x$, $R(x) = 102 + 3x$, then break-even point	(IV)	3

Choose the correct answer from the options given below :

If $y = e^{\frac{1}{2}\log(1+ \tan^2 x)}$, then $\frac{d^2y}{dx^2}$ is equal to:

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

Match List - I with List - II.

Choose the correct answer from the options given below :

If $y = \log_e \left(\frac{x^3}{e^3}\right)$, then $\frac{d^2 y}{d x^2}$ is equal to

If $x^{2/3} + y^{2/3} = a^{2/3}$, then $\frac{dy}{dx}$ is equal to :

Match List - I with List - II.

Choose the correct answer from the options given below :