In Exercises 59–86, find the derivative of y with respect to the given independent variable.
83. y = 3^(log₂ t)

10–19. Derivatives Find the derivatives of the following functions.

f(x) = ln(3 sin² 4x)

Derivative of ln|x| Differentiate ln x, for x > 0, and differentiate ln(−x), for x < 0, to conclude that d/dx (ln|x|) = 1/x

In Exercises 57–70, use logarithmic differentiation to find the derivative of y with respect to the given independent variable.

59. y = √(t/(t+1))

In Exercises 59–86, find the derivative of y with respect to the given independent variable.

79. y = θ sin(log₇ θ)

In Exercises 59–86, find the derivative of y with respect to the given independent variable.

65. y = (cos θ)^(√2)

"In Exercises 59–86, find the derivative of y with respect to the given independent variable.

67. y = 7^(sec θ) ln 7"

In Exercises 59–86, find the derivative of y with respect to the given independent variable.

69. y = 2^(sin 3t)

In Exercises 59–86, find the derivative of y with respect to the given independent variable.

71. y = log₂(5θ)