Question

plzz solve it step by step​

Answer 1

Answer---> dy/dx = 1 / √x ( 1 - √x )²

Given---> y = ( 1 + √x ) / ( 1 - √x )

To find---> dy / dx

Solution--->

1) plzz refer the attachment

2) We apply division formula of differentiation ,

d/dx ( u / v ) = ( v du/dx - u dv/dx ) / v²

3) Then applying a formula of differentiation

d / dx ( √x ) = 1 / 2√x

4) Now taking ( 1 / 2√x ) as common and solving we get answer

Additional information--->

1) d/dx ( xⁿ ) = nxⁿ⁻¹

2) d/dx ( eˣ ) = eˣ

3) d/dx ( logx ) = 1 /x

4) d/dx ( Sinx ) = Cosx

5) d/d ( Cosx ) = - Sinx

6) d/dx ( tanx ) = Sec²x

7) d/dx ( Secx ) = Secx tanx

8) d/dx ( Cotx ) = - Cosec²x

9) d/dx ( Cosecx ) = - Cosecx Cotx