Answer
f′(x) = 8x(x^2+)^3
Work Step by Step
f(x) = (x^2 +1)^4
f′(x) = (x^2 +1)^4 d/dx
f′(x) = 4 (x^2 +1)^3 d/dx (x^2+1)
f′(x) = 4 (x^2 +1)^3 (2x)
f′(x) = 8x (x^2 +1)^3
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