If y=a x^2+b, then d y d x at x=2 is equal to : - Vidyadip

MCQ

If $y=a x^2+b$, then $\frac{d y}{d x}$ at $x=2$ is equal to :

A
$2a$
B
$3a$
✓
$4a$
D
None of these.

✓

Answer

Correct option: C.

$4a$

Given that, $y=a x^2+b$
Then, $\frac{\text{dy}}{\text{dx}} = 2\text{ax}$
At $x = 2, \frac{\text{dy}}{\text{dx}}=2(\text{a})(2)=4\text{a}$

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