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Find (dy)/(dx) if y=sqrt(1+x^2)...

Find (dy)/(dx) if
`y=sqrt(1+x^2)`

Text Solution

Verified by Experts

`y=sqrt(1+x^2)=sqrtt`, where `t=1+x^2`
`therefore dy/dx=dy/dt.dt/dx`
`d/dt(sqrtt).d/dx(1+x^2)`
`=1/(2sqrtt).2x=x/(sqrt(1+x^2)`
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