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d/dx [arctan(x²)] =

A1/sqrt(1-x⁴)
B2x/(1+x⁴) (chain rule)
C1/(1+x⁴)
D2x
Answer & Solution
Correct answer: B. 2x/(1+x⁴) (chain rule)
**Chain rule:** d/dx[arctan(u)] = (1/(1+u²)) × du/dx. With u = x²: du/dx = 2x. **So d/dx = 2x/(1+x⁴).**
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