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  • Choose the correct answer out of 4 options given against each Question If y=√x+1/x, then dy/dx at x = 1 is A. 1 B. C. D. 0

Choose the correct answer out of 4 options given against each Question

If If\: \: y=\sqrt {x}+\frac{1}{x}, then \frac{dy}{dx} at x = 1 is

A. 1
B. \frac{1}{2}
C. \frac{1}{\sqrt{2}}
D. 0

Answers (1)

   \\ y=\sqrt {x}+\frac{1}{x} \\ \\ \frac{dy}{dx}=\frac{1}{2\sqrt {x}}-\frac{1}{x^{2}} \\ \\ \left( \frac{dy}{dx} \right) _{x=1}=\frac{1}{2}-1=-\frac{1}{2} \\ \\

    Hence, the answer is option D

 

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