Mathematics

Mathematics

Problem

If y=tan⁡−1(2x1+22x+1)y = \tan^{-1}\left(\frac{2^x}{1+2^{2x+1}}\right), then dydx\frac{dy}{dx} at x=0x = 0 is (a) 1 (b) 2 (c) ln⁡2\ln 2 (d) none of these

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