Basic Calculus Final Exam

Which of the following is the derivative of y=1/x?

• y'=1/x²

• y'=-1/x²

• y'=1/x³

• y'=-1/x³

Which of the following is the derivative of 4x-7?

• 0

• 1

• 3

• 4

• y'=-18x²-62

• y'=-9x²-62

• y'=18x²-62

• y'=9x²-62

Which of the following is the derivative of x?

• 0

• 1

• 2

• 3

Which of the following is the derivative of x+5?

• 0

• 1

• x

• x+1

Which of the following is the derivative of x³?

• 3x³

• 3x²

• 3x

• 1

Which of the following is the derivative of fx=cosx3?

• 3x²sin3x

• -3x²sin3x

• 3xsin3x

• -3xsin3x

Which of the following is the correct way to read the limx→1 (3x+1)=4?

• As x approaches a, the limit of f(x) approaches L.

• As x approaches 3x+1, the limit of 1 approaches 4.

• As 3x+1 approaches 1, the limit of 4 approaches x.

• As x approaches 1, the limit of 3x+1 approaches 4

If the left side limit of a function is not equal to the right side limit, then the limit exist.

• True

• False

• Maybe

• Incomplete information

One sided limit form the right side is illustrated as lim x→c^- f(x).

• True

• False

• Maybe

• Incomplete information