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Differentiate the following : (ii) sin...

Differentiate the following :
(ii) `sin^(2)(ax+b)`

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AI Generated Solution

To differentiate the function \( y = \sin^2(ax + b) \), we will use the chain rule and the derivative of the sine function. Here’s the step-by-step solution: ### Step 1: Identify the outer and inner functions We can rewrite the function as: \[ y = (\sin(ax + b))^2 \] Here, the outer function is \( u^2 \) where \( u = \sin(ax + b) \), and the inner function is \( ax + b \). ### Step 2: Differentiate the outer function ...
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