CBSE

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

Problem

If y=(1+1x)xy=\left(1+\frac{1}{x}\right)^x, then dydx=\frac{dy}{dx}= (a) (1+1x)x[log⁡(1+1x)−11+x]\left(1+\frac{1}{x}\right)^x\left[\log\left(1+\frac{1}{x}\right)-\frac{1}{1+x}\right] (b) (1+1x)x[log⁡(1+1x)]\left(1+\frac{1}{x}\right)^x\left[\log\left(1+\frac{1}{x}\right)\right]

Related theory

Browse the problem library