Question

Which one of the following statements is true?

Answer 1

Hi,

1) False, why ?


`Let\;say\;that:f(x)=x^2\;and\;g(x)=2x\\\\(d)/(dx)(f(x)* g(x))=(d)/(dx)(x^2*2x)=(d)/(dx)(2x^3)=3*3x^2=6x^2\\\\But:f'(x)* g'(x)=2x* 2=4x\\\\6x^2\\eq4x`

2) True, why ?


`(d)/(dx)|x^2+x|=(d)/(dx)(x^2+x)=2x+1`

3) False, I let you search ;)

4) We say that 2) was true, so.