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Derivativeshard
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A function f(x)f(x)f(x) is defined such that f(x)+x2[f(x)]3=10f(x) + x^2[f(x)]^3 = 10f(x)+x2[f(x)]3=10 and f(1)=2f(1) = 2f(1)=2. Determine the value of f′(1)f'(1)f′(1) using implicit differentiation.