Question

Differentiate with respect to x : 2xe^x​

Answer 1

$\\ \sf\longmapsto \dfrac{d}{dx}2xe^x$

• Apply product rule

$\\ \sf\longmapsto \dfrac{d}{dx}2x(e^x)$

$\\ \sf\longmapsto 2x\dfrac{d}{dx}e^x+e^x\dfrac{d}{dx}2x$

$\\ \sf\longmapsto 2xe^x+2e^x$

$\\ \sf\longmapsto 2e^x(x+1)$