Hey everyone! I've been working on this huge packet filled with College Math II and Calculus 1 questions. I'm finished with 82 problems but now I'm stuck on the below few. If you can, please help me out because this is definitely URGENT!

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1.Given $\displaystyle y=2x^2-8$

Find the equation of the TANGENT line I at $\displaystyle x=2$.

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2.Given $\displaystyle y=[f(x)]^2 * [g(x)]^3$

Find $\displaystyle \frac{dy}{dx}$ "symbolically" (in prime notation)

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3.Given the position function $\displaystyle S=\frac{1}{4}t^4$, find theinstantaneous accelerationat $\displaystyle t=4sec$

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4.$\displaystyle y=x\sqrt{2x+3}$

Find $\displaystyle \frac{dy}{dx}$

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5.Evaluate $\displaystyle \lim_{\Delta x\to 0} - \frac{4(x+\Delta x)-4y}{\Delta x}$

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6.The function $\displaystyle y = |x+21|$ is NOT differentiable at x=?

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7.Given the position $\displaystyle S(t)=2t+t^2$, where $\displaystyle S$ is in Ft.

Find the instantaneous velocity at $\displaystyle t=3sec$

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The questions above are the only ones I'm having a tough time with. Please help me! I would greatly appreciate it.

You guys are awesome! This site has been a great resource for me for the past 2 years. Keep it up!