Question

Differentiate x²(x + 1):​

Answer 1

`{ tt{y = {x}^(2)(x + 1) }} \\ \\ { \tt{ (dy)/(dx) = (2x)(x + 1) + ( {x}^(2))(1) }} \\ \\ { tt{ (dy)/(dx) = 2 {x}^(2) + 2x + {x}^(2) }} \\ \\ { \tt{ \fac{dy}{dx} = 3 {x}^(2) + 2 }} \\ \\ { \boxed{ \tt{ \frc{dy}{dx} = x(3x + 2) }}}`

Answer 2

`{ \tt{y = {x}^(2)(x + 1) }} \\ \\ { \tt{ (dy)/(dx) = (2x)(x + 1) + ( {x}^(2))(1) }} \\ \\ { \tt{ (dy)/(dx) = 2 {x}^(2) + 2x + {x}^(2) }} \\ \\ { \tt{ (dy)/(dx) = 3 {x}^(2) + 2x }} \\ \\ { \boxed{ \tt{ (dy)/(dx) = x(3x + 2) }}}`