3. Techniques of Differentiation

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

p = √(3 − t)

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

s = (4 / 3π)sin(3t) + (4 / 5π)cos(5t)

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

y = (5 − 2x)⁻³ + (1 / 8)(2 / x + 1)⁴

Finding Derivative Values

In Exercises 67–72, find the value of (f ∘ g)' at the given value of x.

f(u) = 1 − (1/u), u = g(x) = (1 / (1 − x)), x = −1