Question

if y=1/√x then dy/dx is equal to​

Answer 1

We have, y=x

x

Taking log on both the sides, we get

logy=xlogx

On differentiating w.r.t. x, we get

y

1

dx

dy

=

x

x

+logx

⇒

dx

dy

=y+ylogx

⇒

dx

dy

=x

x

(1+logx) ....(∵y=x

x

)