Match List - I with List - II.
|
List – I |
List – II |
||
|
(A) |
$y=x^3-x$ |
(I) |
8 |
|
(B) |
$y=(x-2)^2$ |
(II) |
$\frac{2}{3}$ |
|
(C) |
$y=2 x^2+3$ |
(III) |
11 |
|
(D) |
$y=\sqrt{4 x+1}-7$ |
(IV) |
0 |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 3
| Equation of curves | their derivatives | Slope at x = 2 | |
| A | $y=x^3-x$ | $y'=3x^2-1$ | 11 |
| B | $y=(x-2)^2$ | $y'=2(x-2)$ | 0 |
| C | $y = 2x^2+3$ | $y'=4x$ | 8 |
| D | $y = \sqrt{4x+1}-7$ | $y'=\frac{1}{2}×\frac{4}{\sqrt{4x+1}}$ | $\frac{2}{3}$ |