Question 3: Differentiate the function and find the slope of the tangent line at the given value of the independent variable. (remember Pascal’s Triangle, written below)

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$$ s=t^3-t^2, \enspace t=3 $$

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Question 4: Find the value of the derivative.

$$ \frac{dy}{dx}\biggm\vert_{x=\,-3} \text{if} \enspace y=9-x^2 $$

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Question 5: Use the formula $f’(x)=\lim_{z\rightarrow x} \frac{f(z)-f(x)}{z-x}$ to find the derivative of the following function:

$$ f(x)=\frac{5}{x+6} $$

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Question 6: The figure below shows the graph of a function over the closed interval -3≤x≤2. Complete parts (a) through (c).

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