Question

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

Answer 1

The answer is True.

On differentiating using product rule,

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

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

The general form of product rule :

`\boxed {(d)/(dx)(ab) = a(b')+b(a')}`