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Calculus Quiz Questions with Explanations

Test your calculus knowledge with these five challenging questions and detailed explanations. Explore concepts like limits, derivatives, and functions.

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Calculus Quiz Questions with Explanations

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  1. Class 26: Question 1 If a number very close to zero is divided by another number very close (not not equal) to zero, the result A. must be a number very close to zero. B. must be a number very close to 1.C. could be any number.D. might not be a number at all.

  2. Class 26: Question 2 Consider the functions f(x)=exand g(x)=x1,000,000 .As x →∞ which of the following is true A.f grows faster than gB.g grows faster than fC. We can not determine which grows faster. D.They grow at the same rate like all exponentials

  3. Class 26: Question 3 The limit A. Does not exist because∞ - ∞ is not defined.B. Converges to 1. C. Converges to 0.D. Is ∞ because xe1/x grows faster than x.

  4. Class 26: Question 4 If a function is always positive, then what must be true about its derivative? A. The derivative is always positive. B. The derivative is never negative.C. The derivative is increasing. D. The derivative is increasing.E. You can’t conclude anything about the derivative.

  5. Class 26: Question 5 The derivative, f ′(x), of a function f(x) is negative everywhere.We also know that f(0)=0. What must be true about f(-1)? A. f(-1) is negative B. f(-1) is positiveC.f(-1) is zero D. Not enough information to conclude anything about f(-1)

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