Solved Task 2

roman_schenk_S1_Aufg2.py

@@ -20,21 +20,35 @@ def polynom_function(coefficients, x):
         result += coefficient * x ** power
     return result
 
+def derivative_f(coefficients):
+    result = []
+    for i in range(1, len(coefficients)):
+        result.append(coefficients[i] * i)
+    return result
+
+def integral_f(coefficients):
+    c = 0
+    result = [c]
+    for i in range(0, len(coefficients)):
+        result.append(coefficients[i] / (i+1))
+    return result
+
+
 def plot_polynom_function(coefficients, xmin, xmax, xsteps):
     x = np.arange(xmin, xmax + xsteps, xsteps)
     f = np.array(polynom_function(coefficients, x))
     plt.plot(x, f)
     plotLegend.append('f(x)')
 
-def plot_derivative_f(xmin, xmax, xsteps):
+def plot_derivative_f(coefficients, xmin, xmax, xsteps):
     x = np.arange(xmin, xmax + xsteps, xsteps)
-    f = np.array(polynom_function(x))
+    f = np.array(polynom_function(derivative_f(coefficients), x))
     plt.plot(x, f)
     plotLegend.append('f\'(x)')
 
-def plot_integral_f(xmin, xmax, xsteps):
+def plot_integral_f(coefficients, xmin, xmax, xsteps):
     x = np.arange(xmin, xmax + xsteps, xsteps)
-    f = np.array(polynom_function(x))
+    f = np.array(polynom_function(integral_f(coefficients), x))
     plt.plot(x, f)
     plotLegend.append('F(x)')
 
@@ -42,6 +56,6 @@ if __name__ == "__main__":
     xmin, xmax, xsteps = -10, 10, 0.1
     coefficients_task_1 = [-105, 29, 110, -30, -5, 1]
     plot_polynom_function(coefficients_task_1, xmin, xmax, xsteps)
-    #plot_derivative_f(xmin, xmax, xsteps)
+    plot_derivative_f(coefficients_task_1, xmin, xmax, xsteps)
-    #plot_integral_f(xmin, xmax, xsteps)
+    plot_integral_f(coefficients_task_1, xmin, xmax, xsteps)
     showPlot(xmin, xmax, xsteps)