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Obtian (dy)/(dx) for the following : (...

Obtian `(dy)/(dx)` for the following :
(i) `(3-4x^(2))^(2)`
(ii) `sqrt((3+x^(2)))`

Text Solution

AI Generated Solution

To find the derivative \( \frac{dy}{dx} \) for the given functions, we will apply the chain rule and basic differentiation rules. Let's solve each part step by step. ### Part (i): \( y = (3 - 4x^2)^2 \) 1. **Identify the outer and inner functions**: - Outer function: \( u^2 \) where \( u = 3 - 4x^2 \) - Inner function: \( u = 3 - 4x^2 \) ...
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