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1. Find the linearization L(x) of the function at a. f(x) = x^4 + 4x^2, a = -1
2. Find the linearization L(x) of the function at a. f(x) = x^3/4, a = 81
3. Find the linearization of the function g(x) = (1 + x)^1/3 at a = 0.
4. Find the differential of each function.
(a) y = tan sqrt(5t)
(b) y = (2- v^2)/(2 + v^2)
5. Find the differential of each function.
(a) y = s/(9 + 2s)
(b) y = u cos u
6. Find the differential of each function.
(a) y = x^2 sin 6x
(b) y = ln( sqrt(4 + t^2))