CBSE

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

Problem

If y=(1+x)xy = (1 + x)^x , then dydx=\frac{dy}{dx} = (a) (1+x)x[x1+x+log⁡ex](1 + x)^x \left[ \frac{x}{1 + x} + \log e x \right] (b) x1+x+log⁡(1+x)\frac{x}{1 + x} + \log(1 + x) (c) (1+x)x[x1+x+log⁡(1+x)](1 + x)^x \left[ \frac{x}{1 + x} + \log(1 + x) \right] (d) None of these

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