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  4. If y = ax2 + b, then (dy/dx) at x = 2 is equal to

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Q. If $y = ax^2 + b$, then $\frac{dy}{dx}$ at $x = 2$ is equal to

Continuity and Differentiability

Solution:

We have, $y=ax^{2}+b$
$\Rightarrow \frac{dy}{dx}=2ax$
$\frac{dy}{dx} \bigg|_{x=2}= 2a \times 2 = 4a$