Chapter 9.9, Problem 35HP

To determine

To calculate: To describe the general slope of the exponential function $y=a^x$ .

Answer to Problem 35HP

The slope of function is $a^x$

Explanation of Solution

Given information: Exponential function $y=a^x$

Formula Used:

Slope of a function is calculated as

  $Slope=\frac{Rise}{Run}$

Calculation:

Slope of the exponential function is calculated by finding the derivative of the function

  $Slope=\frac{dy}{dx}$

Thus, slope of exponential function $y=a^x$ is calculated as

  $\begin{array}{l}Slope=\frac{d}{dx}\left(a^x\right)\\ Slope=a^x\end{array}$

Conclusion:

Hence, slope of function is $a^x$