M408Cprac1 - y = cos x at the point where x = π 3 15 The...

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M408C Practice Test 1 Please remember: We won’t help you work these problems. 2. Sketch an example of a function f ( x ) such that f (3) = 3 but lim x 3 f ( x ) = 5 . 3. Find lim x 4 x 2 - 16 x 2 - 8 x + 16 . 4. Find lim x 9 x - 3 x - 9 . 5. Find lim x 2 - 1 2 - x . 6. Find lim x →- 3 + ( x + 2) | 3 + x | 3 + x . In Problems 7 through 12, find y 0 . 7. y = 6 x 7 + 2 3 x - 3 x 4 + 5 8. y = x 2 cos( x ) 9. y = x 3 + 1 x + 1 10. y = sec 5 ( x 5 ) 12. y = sin(sin(sin(sin(2 x ))) 13. Find the equation of the tangent line to the curve
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Unformatted text preview: y = cos( x ) at the point where x = π/ 3 . 15. The graph of y = f ( x ) is shown. Sketch the graph of y = f ( x ). 16. Find y 00 for each function in Problems 7–12. 17. Use the (limit) definition of derivative to find the derivative of f ( x ) = 2 x 3-x + 5....
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