Question

differentiate x (1+x)(1+2x)​

Answer 1

Step-by-step explanation:

We have,

$y = x(1 + x)(1 + 2x)$

$\implies \: y = x(1 + 3x + 2 {x}^{2} )$

$\implies \: y = x + 3 {x}^{2} + 2 {x}^{3}$

$\implies \frac{dy}{dx} = 1 + 6x + 6 {x}^{2}$