PYTHON

Evaluating a more complex function.

In your own code, come up with four more complex functions (not a polynomial e.g. use sin/cos/tan/exp/log/powers/etc.), that you do not know how to compute the derivative for analytically, but that you can evaluate. For each function, using the same process as in part (b), calculate the derivative of that function at some value. Write a line of output describing each function, and stating what the computed derivative for it is, along with the number of steps needed to compute the derivative.

Here is My code from the previous part, if there are any corrections needed please tell me.

A = float(input('A: ')) B = float(input('B: ')) C = float(input('C: ')) D = float(input('D: ')) count = 2 x = float(input()) a = .1 fx = ((A*(x + a)**3 + B*(x+a)**2 + C*(x+a) + D) - (A*(x)**3 + B*(x)**2) + C*x + D ) / a a = a/2 fx2 = ((A*(x + a)**3 + B*(x+a)**2 + C*(x+a) + D) - (A*(x)**3 + B*(x)**2) + C*x + D ) / a while (fx - fx2) > 10**-6: fx = fx2 a = a/2 fx2 = ((A*(x + a)**3 + B*(x+a)**2 + C*(x+a) + D) - (A*(x)**3 + B*(x)**2) + C*x + D ) / a count += 1 print(fx2) print(count) print(fx - fx2)