If y= x 1+ x , then (a) d y d x = -1 1+ x (b) d y d x = 1 1+ x (c) dy dx =- 1 2 ^2 ( 4 - x 2 ) (d) d y d x = 1 2 ^2 ( 4 - x 2 )

Step-by-step solution

aligned & y= x 1+ x & y^ = - x(1+ x)- x( x) (1+ x)^2 = -(1+ x) (1+ x)^2 & y^ = -1 ( x 2 + x 2 )^2 = -1 1+ x & = -1 2 ( 1 2 x 2 + 1 2 x 2 )^2 = -1 2 ^2 ( 4 - x 2 ) & = -1 2 ^2 ( 4 - x 2 ) aligned