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Differentiate the following : (i) tan6...

Differentiate the following :
(i) `tan6x`

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AI Generated Solution

To differentiate the function \( \tan(6x) \), we will use the chain rule of differentiation. The chain rule states that if you have a composite function \( f(g(x)) \), then the derivative is given by \( f'(g(x)) \cdot g'(x) \). ### Step-by-Step Solution: 1. **Identify the outer and inner functions**: - Let \( u = 6x \) (inner function) - Then, \( y = \tan(u) \) (outer function) ...
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