In Exercises 41–58, find dy/dt.

y = (1/6)(1 + cos²(7t))³

In Exercises 41–58, find dy/dt.

y = (1 + tan⁴(t/12))³

In Exercises 41–58, find dy/dt.

y = ((3t − 4) / (5t + 2))⁻⁵

In Exercises 41–58, find dy/dt.

y = (t⁻³/⁴ sin(t))⁴/³

In Exercises 41–58, find dy/dt.

y = (1 + cos(2t))⁻⁴

In Exercises 41–58, find dy/dt.

y = sin²(πt − 2)

Find the derivatives of the functions in Exercises 19–40.

q = sin(t / (√t + 1))

Find the derivatives of the functions in Exercises 19–40.

g(t) = (1 + sin(3t) / (3 − 2t))⁻¹