Match List-I with List-II.

Choose the correct answer from the options given below :

(A) -(II), (B)- (III), (C) -(IV), (D) -(I)

The correct answer is Option (2) → (A) -(II), (B)- (III), (C) -(IV), (D) -(I)

(A) $y=x^2-8$

$⇒\frac{dy}{dx}=2x=0$

$⇒x=0$ (II)

(B) $P(x)=3x+1$

$R(x)=x.P(x)$

$=3x^2+x$

$R(2)=3(2)^2+2=14$ (III)

(C) $y=x^3$

$⇒\frac{dy}{dx}=3x^2$

$⇒\left.\frac{dy}{dx}\right]_{x=-1}=3(-1)^2=3$ (IV)

(D) $C(x)=100+5x,R(x)=102+3x$

$⇒R(x)=C(x)$

$⇒100+5x=102+3x$

$⇒2x=2$

$⇒x=1$ (I)