In Exercises 1–24, find the derivative of y with respect to the appropriate variable.
9. y = 8^(-t)

In Exercises 125–128 solve the differential equation.

125. dy/dx = √y cos(√y)

Evaluate the integrals in Exercises 31–78.

39. ∫(from 0 to π)tan(x/3)dx

Evaluate the integrals in Exercises 31–78.

43. ∫tan(ln v)/v dv

Evaluate the integrals in Exercises 31–78.

75. ∫(from -2 to -1)2dv/(v²+4v+5)

113. The function f(x) = e^x + x, being differentiable and one-to-one, has a differentiable inverse f^(-1)(x). Find the value of df^(-1)/dx at the point f (ln 2).

109. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.

e. f(x) = arccsc(x), g(x) = 1/x