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How to Calculate Slope of Exponential Graph in Excel

There is only one slope for a linear graph. But in the case of an exponential graph, there are many slopes that we can detect. This article is about how you can calculate the slope of an exponential graph in Excel.


Download Practice Workbook

You can download and practice this workbook.


Basics of Slope and Exponential Graph

Exponential Graph:

Exponential graphs increase or decrease rapidly. The basic equation for the exponential graph is:

y=a.bx

In this formula, a, and b are constants.

Slope: 

The slope indicates whether there is an upward trend or a downward trend. It defines the steepness.

For this exponential equation, let’s find out its slope.

lny = lna + x(lnb)

Slope: dy/dx=a.bx(lnb)


Steps to Calculate Slope of Exponential Graph in Excel

We have taken a dataset of X values and Y values where the Y values increase exponentially with the X values.

Calculate Slope of Exponential Graphin Excel

We will convert this dataset into an exponential function. With the help of the LOGEST function we will find the constant values a and b. Then, we will find slopes for every X value.


Step 1: Finding Constant a and b of Exponential Graph with LOGEST

First, we have to find the value of constants a and b.

➤ For that, add two columns beside the dataset.

➤ Select both cells D5 and E5.

➤ Then, write the following formula and press ENTER.

=LOGEST(C5:C10,B5:B10,1,1)

Here,

  • C5:C10:- Y values
  • B5:B10:- X values
  • 1 :- const value
  • 1:- Stats value

Thus, we get the constant values a and b.

Slope of Exponential Graph

Read More: How to Find the Slope of a Line in Excel (5 Easy Ways)


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Step 2: Calculating Slope of Exponential Graph in Excel

As we have shown previously, the slope for the exponential equation is:

dy/dx=a.bx(lnb)

We have already got a and b. Now, we will find bx and lnb and calculate corresponding slopes for X values.

➤ Apply the LN function in cell G6 and press ENTER.

=LN(G5)

This function gives a Logarithm for a value.

Slope of Exponential Graph

So, we get the value of lnb.

Slope of Exponential Graph

➤ Now, apply the POWER function in C5 and press ENTER.

=POWER($G$5,B5)

Here,

  • $G$5:- absolute value
  • B5:- X values

Thereby, we get value for bx.

➤ Now, Hold and Drag the C5 cell downward.

Slope of Exponential Graph

So, we get bx values for all the cells.

➤ Now, write the following slope formula D5 and press ENTER.

=$G$4*C5*$G$6

Here,

  • $G$4:- absolute value
  • C5:- bx
  • $G$6:- absolute value

Doing so, we get the first slope value.

➤ Now, Hold and Drag the D5 cell Downward.

Slope of Exponential Graph

Thus, we have all the slope values.

Read More: How to Find Slope of Logarithmic Graph in Excel (with Easy Steps)


Step 3: Plotting Graph of Slope Value vs X Values

Now let’s plot slope values vs x values graph.

➤ First, copy and paste the X Value and Slope Columns in a new sheet.

➤ Now, select all the data from these two cells.

➤ Then go to the Insert ribbon and select any format from the Charts section.

Slope of Exponential Graph

So, a graph will appear in the sheet containing slope values and x values.

Slope of Exponential Graph

Read More: How to Find Slope of Trendline in Excel (2 Easy Methods)


Practice Section

You can download the practice workbook from the download section and practice yourself.


Conclusion

So, we have shown you how to calculate the slope of the exponential function in Excel. We hope you found the content of this article useful. If you have further queries or suggestions regarding this procedure please leave them in the comment section.


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Sourav Kundu

Sourav Kundu

Bio: Hi, I am Sourav Kundu. I live in Adabor, Dhaka. I graduated in Naval Architecture and Marine Engineering from BUET. I am really excited to be a part of SOFTEKO family. I want to develop my research skill and find innovative solutions for the given problems.

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