Chapter 6, Problem 4PS

(a)

To determine

To calculate: The function $f$ if function $g$ is provided and ${\left(fg\right)}^{\prime }=f^{\prime }{g}^{\prime }$

(b)

To determine

To calculate: The function $f$ if function $g$ is provided as any arbitrary function and ${\left(fg\right)}^{\prime }=f^{\prime }{g}^{\prime }$

(c)

To determine

To calculate: What happens when $g\left(x\right)=e^x$ on using ${\left(fg\right)}^{\prime }=f^{\prime }{g}^{\prime }$.