Chapter 3.3, Problem 9QR

(a)

To determine

To calculate: The derivative of the function $f\left(x\right)=\pi$.

Answer to Problem 9QR

The required derivatives of the function is 0.

Explanation of Solution

Given information:

The given function is $f\left(x\right)=\pi$.

Formula Used:

Differential formula:

  $f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)$

Here $f\left(x\right)$ is the function.

Calculation:

The given function is $f\left(x\right)=\pi$.

It is known that differentiation of a constant is zero.

Differentiate the given function with respect to $x$ . Use the formula $f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)$.

  $\begin{array}{c}f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)\\ =\frac{d}{dx}\pi \\ =0\end{array}$

Hence, the required derivatives of the function is 0.

(b)

To determine

To calculate: The derivative of the function $f\left(x\right)={\pi }^2$.

Answer to Problem 9QR

The required derivatives of the function is 0.

Explanation of Solution

Given information:

The given function is $f\left(x\right)={\pi }^2$.

Formula Used:

Differential formula:

  $f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)$

Here $f\left(x\right)$ is the function.

Calculation:

The given function is $f\left(x\right)={\pi }^2$.

It is known that differentiation of a constant is zero.

Differentiate the given function with respect to $x$ . Use the formula $f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)$.

  $\begin{array}{c}f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)\\ =\frac{d}{dx}{\pi }^2\\ =0\end{array}$

Hence, the required derivatives of the function is 0.

(c)

To determine

To calculate: The derivative of the function $f\left(x\right)={\pi }^{15}$.

Answer to Problem 9QR

The required derivatives of the function is 0.

Explanation of Solution

Given information:

The given function is $f\left(x\right)={\pi }^{15}$.

Formula Used:

Differential formula:

  $f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)$

Here $f\left(x\right)$ is the function.

Calculation:

The given function is $f\left(x\right)={\pi }^{15}$.

It is known that differentiation of a constant is zero.

Differentiate the given function with respect to $x$ . Use the formula $f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)$.

  $\begin{array}{c}f\text{'}\left(x\right)=\frac{d}{dx}f\left(x\right)\\ =\frac{d}{dx}{\pi }^{15}\\ =0\end{array}$

Hence, the required derivatives of the function is 0.