diff --git a/calc-backend/graph-gen/README.md b/calc-backend/graph-gen/README.md
index 686daf0..314893c 100644
--- a/calc-backend/graph-gen/README.md
+++ b/calc-backend/graph-gen/README.md
@@ -1,5 +1,5 @@
## Code for Generating Graphs
-Each python file outputs an html div for displaying the respective graph on the frontend.
+Each python file outputs a json object for displaying the graph on the frontend.
The following script must be added to index.html to render the graph:
```html
diff --git a/calc-backend/graph-gen/graph-deriv.py b/calc-backend/graph-gen/graph-deriv.py
index 4805964..75195b9 100644
--- a/calc-backend/graph-gen/graph-deriv.py
+++ b/calc-backend/graph-gen/graph-deriv.py
@@ -38,7 +38,7 @@ def derivative(func, x, h=1e-5):
return (func(x + h) - func(x - h)) / (2 * h)
# Create an array of x values and evaluate f(x) for these values.
-x_vals = np.linspace(x_range[0], x_range[1], num=51)
+x_vals = np.linspace(x_range[0], x_range[1], num=101)
f_vals = f(x_vals)
# Initialize the Plotly figure
@@ -51,16 +51,16 @@ def derivative(func, x, h=1e-5):
# Set the final y-axis range with padding
y_min = np.min(f_vals) - pad
-# No padding on top to avoid cutting off curve
-y_max = np.max(f_vals)
+y_max = np.max(f_vals) + pad
# Calculate x-axis padding
x_range_val = x_range[1] - x_range[0]
x_pad = max(x_range_val * 0.05, 0.1)
-# Set the final x-axis range with padding
-x_min = x_range[0] - x_pad
-x_max = x_range[1] + x_pad
+# Set the final x-axis range with padding (only pad if lowest x value >= 0)
+x_min = x_range[0] - x_pad if x_range[0] >= 0 else x_range[0]
+# No padding on right
+x_max = x_range[1]
# Vertical line at x=0 (y-axis)
if x_min < 0 <