Questions from General Calculus

Q: Differentiate. y = 2 4√(x2 + 1

Differentiate. y = 2 4√(x2 + 1)

Q: Determine whether the following limits exist. If so, compute the

Determine whether the following limits exist. If so, compute the limit. lim x→4 (x – 4) / (x2 – 8x + 16)

Q: Determine whether the following limits exist. If so, compute the

Determine whether the following limits exist. If so, compute the limit. lim x→5 (x – 5) / (x2 – 7x + 2)

Q: Use limits to compute the following derivatives. f ‘(5

Use limits to compute the following derivatives. f ‘(5), where f (x) = 1/(2x).

Q: Use limits to compute the following derivatives. f ‘(3

Use limits to compute the following derivatives. f ‘(3), where f (x) = x2 - 2x + 1.

Q: Use limits to compute the following derivatives. What geometric interpretation

Use limits to compute the following derivatives. What geometric interpretation may be given to ((3 + h)2 – 32 )/h in connection with the graph of f (x) = x2?

Q: Use limits to compute the following derivatives. As h approaches

Use limits to compute the following derivatives. As h approaches 0, what value is approached by

Q: Find the equation and sketch the graph of the following lines.

Find the equation and sketch the graph of the following lines. With slope -2, y-intercept (0, 3).

Q: Find the equation and sketch the graph of the following lines.

Find the equation and sketch the graph of the following lines. With slope 3/4 , y-intercept (0, -1).

Q: Find the equation and sketch the graph of the following lines.

Find the equation and sketch the graph of the following lines. Through (2, 0), with slope 5.