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Home › AP EAPCET (Engineering) › Mathematics › Differentiation › Differentiate sqrt(x^2 + 1) with respect to x.

Differentiate sqrt(x^2 + 1) with respect to x.

Ax sqrt(x^2+1)
B1/(2 sqrt(x^2+1))
C2x/sqrt(x^2+1)
Dx/sqrt(x^2+1)
Answer & Solution
Correct answer: D. x/sqrt(x^2+1)
The chain rule gives (1/2)(x^2+1)^(-1/2) times 2x, which equals x/sqrt(x^2+1).
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