CBSE

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

Problem

If y=log⁡10x+log⁡x10+log⁡xx+log⁡1010y = \log_{10} x + \log_x 10 + \log_x x + \log_{10} 10 , then dydx=\frac{dy}{dx} = (a) 1xlog⁡e10−log⁡e10x(log⁡ex)2\frac{1}{x \log_e 10} - \frac{\log_e 10}{x(\log_e x)^2} (b) 1xlog⁡e10−1xlog⁡10e\frac{1}{x \log_e 10} - \frac{1}{x \log_{10} e} (c) 1xlog⁡e10−log⁡e10(log⁡ex)2\frac{1}{x \log_e 10} - \frac{\log_e 10}{(\log_e x)^2} (d) None of these

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