Question

Is it true or false! I need help fast thanks!

Answer 1

The answer is True.

On differentiating using product rule,

$\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}$

$\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}$

The general form of product rule :

$\boxed {\frac{d}{dx}(ab) = a(b')+b(a')}$