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Determine differentiation using implicit differentiation

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Reference no: EM131075257

MATH 16A WORKSHEET 9-

(1) Find the minimum of x + y where x ∈ [0, 1] and y = √(1 - x2).

(2) Find f'(2) where f(x) = √ex/(x-1)2 .

(3) Let g be a differentiable function such that g'(0) = -3, and define f(x) = g(x(x + 1)4). Find f'(0).

(4) Suppose that x and y are related by the equation x3y7 = x + y + 1 and use implicit differentiation to determine dy/dx.

Reference no: EM131075257

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