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Question

If y=x+1x, then dydx at x=1 is

A
!
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B
12
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C
12
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D
0
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Solution

The correct option is D 0

We have,

y=x+1x

On taking differentiating both sides w.r.t x, we get

dydx=12x12(x)32

Since, x=1

Therefore,

dydxx=1=12112(1)32

dydxx=1=1212

dydxx=1=0

Hence, this is the answer.


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