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AP EAMCET202123 Aug 2021Evening ShiftMathematicsDifferentiationActual

If x=a [ + ( 2 ) ] and y=a then d y d x is equal to

Correct answer

1

Step-by-step solution

x=a[ + ( / 2)] and y=a d x d =a [- + 1 ( / 2) ^2 / 2 1 2 ] [ d d x x= ^2 x . and d d x x=- x and . d d x x= 1 x ] aligned & =a [- + 1 2 / 2 / 2 ] & =a [- + 1 ] aligned d x d =a [ 1- ^2 ]= a ^2 ...(i) and y=a d y d =a ...ii) Eq. (ii) divide by Eq. (i) d y d x = a a ^2 / = =

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