In Exercises 1–24, find the derivative of y with respect to the appropriate variable.
17. y = ln(arccos(x))

Use l’Hôpital’s Rule to find the limits in Exercises 85–108.

97. lim(x→0) (10^x - 1)/x

133. What is the age of a sample of charcoal in which 90% of the carbon-14 originally present has decayed?

In Exercises 1–24, find the derivative of y with respect to the appropriate variable.

3. y = (1/4)xe^(4x) - (1/16)e^(4x)

In Exercises 79–84, solve for y.

79. 3^y = 2^(y+1)

Evaluate the integrals in Exercises 31–78.

61. ∫(from 1 to 3)(ln(v+1))²/(v+1) dv

Evaluate the integrals in Exercises 31–78.

37. ∫(from -1 to 1)dx/(3x-4)