Update app.py

app.py

@@ -58,6 +58,11 @@ with left_col:
         key="math_function", 
         on_change=reset_session_state
     )
+    st.markdown("**Examples**:")
+    st.markdown("`np.sin(x)`")
+    st.markdown("`np.sin(x) + x**2`")
+    st.markdown("`x * np.sin(x)`")
+    st.markdown("`np.sin(x)**2 + x`")
     
     st.markdown("### Set Parameters")
     initial_point = st.number_input(
@@ -77,9 +82,7 @@ with left_col:
     )  # Updates session state directly without reset
     
     st.markdown("### Controls")
-    if st.button("🔄 Reset"):
-        reset_session_state()
-
+    
     if st.button("🔄 Run Descent Step", type="primary"):
         try:
             gradient = compute_derivative(function_input, st.session_state.x_current)
@@ -91,6 +94,8 @@ with left_col:
             st.session_state.current_index = st.session_state.iter_count
         except Exception as e:
             st.error(f"Error: {str(e)}")
+    if st.button("🔄 Reset"):
+        reset_session_state()
 
 # Right side content (Visualization and Iteration Details)
 with right_col: