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if y=sqrt(x) + 1/sqrt(x), then (dy)/(dx)...

if `y=sqrt(x) + 1/sqrt(x)`, then `(dy)/(dx)` at x=1 is equal to

A

1

B

`1/2`

C

`1/sqrt(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `y=sqrt(x) + 1/sqrt(x)`
Now, `(dy)/(dx) = 1/(2sqrt(x)) -1/(2x^(3//2))`
`therefore ((dy)/(dx))_(x=1)=1/2-1/2=0`
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  18. Find the derivative of (x^(n)-a^(n))/(x-a) at x=a for some constant a.

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  19. If f(x)=x^(100)+x^(99)++x+1, then f^(prime)(1) is equal to

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