that returns a function: the derivative of a function f. Assuming that f is a single- variable mathematical function, its derivative will also be a single-variable function. When called with a number a, the derivative will estimate the slope of f at point (a, f(a)). Recall that the formula for finding the derivative of f at point a is: where h approaches 0. We will approximate the derivative by choosing a very small value for h. The closer h is to 0, the better the estimate of the derivative will be. def make_derivative (f): """Returns a function that approximates the derivative of f. >>> def square (x): f'(a) = lim h→0 Recall that f'(a) = (f(a+h)-f(a))/h as h approaches 0. We will approximate the derivative by choosing a very small value for h. ... ... f(a+h)-f(a) h #equivalent to: square = lambda x: X*X return x*x >>> derivative = make_derivative (square) >>> result = derivative (3) >>> round (result, 3) # approximately 2*3 6.0 Hu h=0.00001
that returns a function: the derivative of a function f. Assuming that f is a single- variable mathematical function, its derivative will also be a single-variable function. When called with a number a, the derivative will estimate the slope of f at point (a, f(a)). Recall that the formula for finding the derivative of f at point a is: where h approaches 0. We will approximate the derivative by choosing a very small value for h. The closer h is to 0, the better the estimate of the derivative will be. def make_derivative (f): """Returns a function that approximates the derivative of f. >>> def square (x): f'(a) = lim h→0 Recall that f'(a) = (f(a+h)-f(a))/h as h approaches 0. We will approximate the derivative by choosing a very small value for h. ... ... f(a+h)-f(a) h #equivalent to: square = lambda x: X*X return x*x >>> derivative = make_derivative (square) >>> result = derivative (3) >>> round (result, 3) # approximately 2*3 6.0 Hu h=0.00001
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion
Problem 6E
Related questions
Question
![Define a function make_derivative that returns a function: the derivative of a function f. Assuming that f is a single-
variable mathematical function, its derivative will also be a single-variable function. When called with a number a,
derivative will estimate the slope of f at point (a, f(a)).
the
Recall that the formula for finding the derivative of f at point a is:
f'(a) = lim
h→0
where h approaches 0. We will approximate the derivative by choosing a very small value for h. The closer h is to 0, the
better the estimate of the derivative will be.
def make_derivative (f):
"""Returns a function that approximates the derivative of f.
>>> def square (x):
f(a+h)-f(a)
h
Recall that f'(a) = (f(a + h) - f(a)) / h as h approaches 0. We will
approximate the derivative by choosing a very small value for h.
# equivalent to: square = lambda x: x*X
return x*x
>>> derivative = make_derivative (square)
>>> result = derivative (3)
>>> round (result, 3) # approximately 2*3
6.0
||||||
h=0.00001
"*** YOUR CODE HERE ***"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8429cf50-8762-4eea-98e9-6b9796c8d2f2%2Fcbcf9196-e238-4d17-b360-81a264d14424%2Fhfrtpo6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Define a function make_derivative that returns a function: the derivative of a function f. Assuming that f is a single-
variable mathematical function, its derivative will also be a single-variable function. When called with a number a,
derivative will estimate the slope of f at point (a, f(a)).
the
Recall that the formula for finding the derivative of f at point a is:
f'(a) = lim
h→0
where h approaches 0. We will approximate the derivative by choosing a very small value for h. The closer h is to 0, the
better the estimate of the derivative will be.
def make_derivative (f):
"""Returns a function that approximates the derivative of f.
>>> def square (x):
f(a+h)-f(a)
h
Recall that f'(a) = (f(a + h) - f(a)) / h as h approaches 0. We will
approximate the derivative by choosing a very small value for h.
# equivalent to: square = lambda x: x*X
return x*x
>>> derivative = make_derivative (square)
>>> result = derivative (3)
>>> round (result, 3) # approximately 2*3
6.0
||||||
h=0.00001
"*** YOUR CODE HERE ***"
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
![C++ for Engineers and Scientists](https://www.bartleby.com/isbn_cover_images/9781133187844/9781133187844_smallCoverImage.gif)
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr
![C++ for Engineers and Scientists](https://www.bartleby.com/isbn_cover_images/9781133187844/9781133187844_smallCoverImage.gif)
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr