Question

Differentiate y = 5x2e3x

Answer 1

`(\mathrm d)/(\mathrm dx)[5x^2e^(3x)]=5\left((\mathrm d)/(\mathrm dx)[x^2]e^(3x)+x^2(\mathrm d)/(\mathrm dx)[e^(3x)]\right)`

`=5\left(2xe^(3x)+3x^2e^(3x)\right)`

`=5xe^(3x)(2+3x)`