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**.

## Basics of Slope and Exponential Graph

__Exponential Graph:__

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

`y=a.b`

^{x}In this formula, **a**, and **b** are constants.

__Slope:____Â __

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**:**Â dy/dx=a.b**^{x}**(lnb)**

## How to Calculate Slope of Exponential Graph in Excel: 3 Simple Steps

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

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**.

âž¤ For that, add two columns beside the dataset.

âž¤ Select both cells **D5** and **E5**.

âž¤ 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**.

**Read More: How to Calculate Slope and Intercept in Excel**

### Step 2: Calculating Slope of Exponential Graph in Excel

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

`dy/dx=a.b`

^{x}`(lnb)`

We have already got **a** and **b**. Now, we will find **b**** ^{x }**and

**lnb**and calculate corresponding slopes for X values.

âž¤ Apply the **LN function** in cell **G6** and press** ENTER**.

`=LN(G5)`

This function gives a Logarithm for a value.

So, we get the value of **lnb**.

âž¤ 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 **b**** ^{x}**.

âž¤ Now, **Hold** and** Drag** the **C5** cell downward.

So, we get** b**** ^{x}** values for all the cells.

âž¤ Now, write the following **slope **formula** D5** and press **ENTER**.

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

Here,

**$G$4**:- absolute value**C5**:- b^{x}**$G$6**:- absolute value

Doing so, we get the first slope value.

âž¤ Now, **Hold** and **Drag** the** D5 **cell Downward.

Thus, we have all the slope values.

**Read More: How to Find the Slope of a Line in Excel**

### Step 3: Plotting Graph of Slope Value vs X Values

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

âž¤ First, copy and paste the **X Value** and **Slope Columns** in a new sheet.

âž¤ Now, select all the data from these two cells.

âž¤ Then go to the **Insert** ribbon and select any format from the **Charts** section.

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

**Read More: How to Find Instantaneous Slope on Excel**

## Practice Section

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

**Download Practice Workbook**

## 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.

## Related Articles

**How to Find Slope of Tangent Line in Excel****How to Find the Slope of a Regression Line in Excel****How to Find Slope of Logarithmic Graph in Excel**

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