python

3. This question deals with the first derivative of a function f(x) on the real numbers. Recall that f'(a) = lim f(a+h)-f(a) ho h and so for small values of h, we can expect that f'(a) is close to limh_0 f(a+h)-f@, if this limit exists. Another way to express this is as follows: if the function f is differen- tiable at a then f'(a) = lim f(a+1) - f(a) (1) since as n 00, (1) + 0. So, for large enough values of n, this quotient should also be close to f'(a). Produce a function derivative quotient that has three arguments: f, a, h, where f is a function from float to float, a is a number, and h is a very small number. derivative-quotient (f, a, h) should return the number f(a+h) - f(a) You may assume that the given function f is defined at the num- bers a + h and a. . For example, derivative.quotient (math.sin, 0, 0.1) should return the number 0.9983341664682815 since this is equal to (sin(0+ 0.1) - sin(O))/(0.1). If h = 0 your function should return the string 'Division by 0 is not allowed.' (1%) n: import math def derivative_quotient (f, a, h): f is a function from float to float, a is a number, h is a very small number, # some test cases to try out #some test cases to try out print("derivative quotient (math.sin, 0, 0.1): ", derivative_quotient (math.sin, 0, 0.1)) should print 0.99833 print("derivative quotient (math.sin, 0, 0):", derivative_quotient (math.sin, 0, 0)) should print Division by