Determine for .

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Determine ddx(log⁡2(x2+1))\displaystyle \frac{d}{dx}\bigl(\log_2(x^{2}+1)\bigr) for x>0x>0. (a) 2xln⁡2x2+1\dfrac{2x\ln 2}{x^{2}+1} (b) 2x(x2+1)ln⁡2\dfrac{2x}{(x^{2}+1)\ln 2} (c) 1(x2+1)ln⁡2\dfrac{1}{(x^{2}+1)\ln 2} (d) 2xx2+1\dfrac{2x}{x^{2}+1}

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