Chapter 12, Problem 63RE

To determine

To Find: The derivative of $f(x)=5$

Answer to Problem 63RE

  $f\text{'}\left(x\right)=0$

Explanation of Solution

Given information:

  $f(x)=5$

Concept and Formula Used:

  $\frac{d}{dx}a=0\text{ where 'a' is constant}$

Calculation:

The given limit is $f(x)=5$

Differentiate both sides with respect to ‘x’

  $\begin{array}{l}\frac{d}{dx}f(x)=\frac{d}{dx}5\\ \frac{d}{dx}a=0\text{ where 'a' is constant}\\ f\text{'}\left(x\right)=0\end{array}$

Conclusion:

  $f\text{'}\left(x\right)=0$