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Unformatted text preview: Mock Gateway IV (Derivatives)
1 1. Suppose that f (x) = x . Use the definition of derivative to show that the derivative of 1 f (x) at x = 4 is - 16 . 2. Find the derivative: s= 2 1 - + 7 + 8t2 3 t t 3. Find the derivative: 1 f (u) = - 3 u + u 4. Find the derivative: r = 3 cos() 5. Find the derivative: x= 2 + t - t2 t3 - 3t + 1 6. Find the derivative: y= x2 + 3x - 1 7. Find the derivative: v = cos3 u 8. Suppose that the point (4, 5) is on the graph of y = f (x) and that the derivative of f (x) at x = 4 is 11. Give an equation of the tangent line to y = f (x) at the point (4, 5). 9. Find q . q = 3 sin 1-t 10. Suppose that x2 y - xy 2 = 2x. Find y at the point (x, y) = (3, 1). ...
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This note was uploaded on 05/15/2008 for the course MATH 231 taught by Professor Mooney during the Spring '08 term at Wisconsin Milwaukee.
- Spring '08