KARNATAKA-2nd-PUC-2023-Mathematics-Sample-Paper
KARNATAKA 2nd PUC 2023 Mathematics Sample Paper
Question 25
Find $\dfrac{dy}{dx}$, if $2x + 3y = sin x$
Solution
The correct answer is $\dfrac{cos x - 2}{3}$
Explanation
$2x + 3y = sin x$
Differentiating with respect to $x$,
$2 + 3 \dfrac{dy}{dx} = cos x$
∴ $\dfrac{dy}{dx} = \dfrac{cos x - 2}{3}$
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