Question) If y=x2+x, then the derivative of y with respect to 11-x is (1) (2x+1) (x-1)2(2) 2x+1(1-x)2(3) 2x+1(4) 3-x(1-x)3 - Maths - Limits and Derivatives

Question

Question) If y = x 2 + x ,   then the derivative of y with
respect to 1 1 - x is
( 1 )   ( 2 x + 1 )   ( x - 1 ) 2 ( 2 )   2 x + 1 (
1 - x ) 2 ( 3 )   2 x + 1 ( 4 )   3 - x ( 1 - x ) 3

Manbar Singh · Accepted Answer

We have,    y = x2+x⇒dydx = 2x + 1Let u = 11-x⇒dudx = 11-x2Now, dydu = dydx×dxdu = 2x + 1 × 1-x2 = 2x+1x-12

Question) If y = x 2 + x , then the derivative of y with respect to 1 1 - x is ( 1 ) ( 2 x + 1 ) ( x - 1 ) 2 ( 2 ) 2 x + 1 ( 1 - x ) 2 ( 3 ) 2 x + 1 ( 4 ) 3 - x ( 1 - x ) 3

Question) If $y = x^{2} + x,$ then the derivative of y with respect to $\frac{1}{1 - x}$ is
$(1) (2 x + 1) (x - 1)^{2} (2) \frac{2 x + 1}{(1 - x)^{2}} (3) 2 x + 1 (4) \frac{3 - x}{(1 - x)^{3}}$