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\flushpar{\bf{Math 1251 Spring 1997 Gateway Exam 2}} \qquad Your Name 
{$\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$} 
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{\bf{Professor Stanton}}
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\flushpar{\it{Directions}}: 
{\eightpoint{Do all four problems. You may NOT use your notes, books, and calculators. To pass this exam you must do all four problems correctly.}}
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1. Find $\frac{dy}{dx}$ if $y=-x^3+\frac{1}{x}$.
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2. Find $f'(x)$ if $f(x)= cos(1-\frac{x}{3})$.
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3. Find $\frac{dy}{dx}$ if $y=(x^4)\sqrt{3-2x}$.
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4. Find the equation of the tangent line to the curve $y=x^5+x$ 
at the point (1,2).  
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