Midterm 1 Practice Midterm
1
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For each of the following questions respond true if the statement is true and
false if the statement. is false. If your response is false give a counter example
or explain why.
1. Differentiable functions are continuous.
2. The derivative is defined a.t every point in a funct.ions domain.
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3. The second derivative of sin(x) is equal to the 3erivative of cos(x).
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4. If the left and right limits exist at a point the function has a limit at
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5. The derivative is only defined for functions.
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Set up and solve the following related rates problem
13. An airplane is flying west at 500 miles per hour and passes over a train
travelling south at 100 miles per hour. How quickly will they be sep
arating from one another after they have travelled for two and a half
hours?
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14. A 6 foot long ladder is propped up against a wall. It start.s to slide
down the wall at a speed of 1 foot per second. How quickly is the base
of the ladder sliding away from the wall when the top of the ladder is
3 feet from the ground?
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