Chapter 11.6, Problem 1CP

(a)

To determine

To calculate: The product of $f\left(x\right)=u\left(x\right)\cdot v\left(x\right)$.

(b)

To determine

To calculate: The derivative, $f^{\prime }\left(x\right)={\left[u\left(x\right)\cdot v\left(x\right)\right]}^{\prime }$.

(c)

To determine

To calculate: The derivative, $u^{\prime }\left(x\right)$.

(d)

To determine

To calculate: The derivative, $v^{\prime }\left(x\right)$.

(e)

To determine

To Calculate: The value of, $u^{\prime }\left(x\right)\cdot v^{\prime }\left(x\right)$,

(f)

To determine

To calculate: Whether $u^{\prime }\left(x\right)\cdot v^{\prime }\left(x\right)={\left[u\left(x\right)\cdot v\left(x\right)\right]}^{\prime }$