-5-3346.-1-32. How is this applet helpful?O It generates a graph of f, I can practice sketching the graph of f', then have it show the answer, and then reset torepeat the process with another graph of fIt gives me the formula for f'(x) so that I can check my answersIt gives me an estimate for f'(a) at any particular point a.It provides a nice table for me to estimate f'(a) for any value a that I enter.

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Answered: How is this applet helpful? O It…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

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The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?
The graph of the first derivative of a function f on the interval [−4, 2] is shown. Use the graph to answer each question. (a) On what interval(s) is f increasing? (b) On what interval(s) is the graph of f concave upward? (c) At what x-value(s) does f have relative extrema? (d) At what x-value(s) does the graph of f have a point of inflection?
I'm having a bit of confusion in figuring out the concavity when considering the first derivative (increasing or decreasing). Can you please sketch a graph that satsify the below requirements and explain why the concavity is the way it is in regard to the first derivative. I am aware that f''(x)>0 is concave up while f''(x)<0 is concave down. Domain: (-infinity,1) U (1,3) U (3, infinity) f'(x)>0 for (x < -3), and (-1 < x < 1). f'(x)<0 for (-3 < x < -1), (1 < x < 3), and (x > 3). f''(x)>0 for (-2 < x < 1), (1 < x < 2), and (x > 3). f''(x)<0 for (x < -2) and (2 < x < 3). Limits: Limit of x as it approaches 1, f(x) approaches infinity. Limit of x as it approaches 3 from the left, f(x) approaches - infinity. Limit of x as it approaches 3 from the right, f(x) approaches infinity. Limit of x as it approaches infinity, f(x) approaches 2. Points: f(-1) = 4 f(2) = 1
The graph of the derivative F'(x) of a function is given below. Justify your answers to the following questions. A. Find all critical numbers (x-coordinates) of F(x) b. Where is the function y=F(x) decreasing?
Please solve this at a more basic grade 12 level so that I can understand 1. Given the function f(x) = x2+4x-12/x2 a) Show your work for finding the derivative, to prove that f′ (x) = −4x+24/x3 b) Show your work for finding the second derivative to prove that f′′(x) = 8x−72/x4 c) Find the x and y intercept(s). d) Find the vertical asymptotes and determine the behavior near the asymptote(s). e) Find the horizontal asymptote. f) Find the intervals of increase/decrease and any local maximum/minimum points. You must include a clear interval chart. g) Find the intervals of concavity and any points of inflection. You must include a clear interval chart.
The folowing is a reworded question from very last night . A printed solution of a length of curve function, f(y) = x3 - 1/4x3, I was studying was solved to a point by finding the derivative of the function, square the result, and then it followed its own instruction "simplify the integrand" and gave [ 1 + (x6 - 1/2 + 1/16x6) dx ]1/2 . It was very early in the morning and I did not recognize the source for the middle term (- 1/2) which had some unstated algebraic process. Would you please give me a step-wise understanding of this algebraic process? I do not need the rest of the solution nor its answer.
When given a graph and your supposed to determine which line is the orginal function, which one is the derivative and then which one is the derivative of the first derivative once more more. So your supposed to find f f' f'' f''' Here is the graph: My question is how does the domain of the fuctions get bigger, Or how does the shape widen through out the differentiation?
Below is the graph of y=f'(x), for some function f. Using the graph of the derivative of f, determine the following. If any cannot be determined based on the graph alone, explain why. (View Picture Below) (a) The number of critical points of f (b) The x values where f has a local maximum (c) f (1) (d) Critical points of f′
I understand the conditions under which a function is differentiable. Is there a function, let's say f(x), for which we cannot find a derivative? If so, what is an example of such a function? Thank you in advance.

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