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A distance is given by y = sqrt(1 + x^2). Its rate of change with x is
A1/(2 sqrt(1 + x^2))
B2x / sqrt(1 + x^2)
Cx sqrt(1 + x^2)
Dx / sqrt(1 + x^2)
Answer & Solution
Correct answer: D. x / sqrt(1 + x^2)
The chain rule gives 1/(2 sqrt(1 + x^2)) times 2x, which simplifies to x / sqrt(1 + x^2).
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