Question: Evaluate the following:

1. \[\frac{dy}{dx}\] if y= \[\frac{x}{\sin x}\]
2. f "(x) if f(x)=x ⁵ +3x ² -6
3. \[\frac{dy}{dx}\] if x ² y ³ +y ³ =4
4. the rate of change of f(x)=e ^sinx at x=0
5. \[\int\limits_{1}^{2}{\frac{1}{x}dx}\]
6. \[\int{({{x}^{3}}-6x+5})dx\]

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