3. ':.. . Find the first and second derivatives for the function below. Then use your derivatives to find the intervals of increasing and decreasing and the intervals of concavity. Find the intervals of increasing and decreasing and the intervals of concavity. Lastly, give a graph of the function of the given set of axis. Show any x or y intercepts and label only the x-values of any relative extrema or inflection points. Note: This graph does not have any vertical or horizontal asymptotes. You must clearly show how you are calculating your derivatives. You will not receive credit if you do not show your work. f (x) = 3x% – 3x%

3. ':.. . Find the first and second derivatives for the function below. Then use your derivatives to find the intervals of increasing and decreasing and the intervals of concavity. Find the intervals of increasing and decreasing and the intervals of concavity. Lastly, give a graph of the function of the given set of axis. Show any x or y intercepts and label only the x-values of any relative extrema or inflection points. Note: This graph does not have any vertical or horizontal asymptotes. You must clearly show how you are calculating your derivatives. You will not receive credit if you do not show your work. f (x) = 3x% – 3x%

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 3E

See similar textbooks

Similar questions

Consider the following profit function used my mobile phone manufacturing company for the calculation of their profit. p(x)=−40000x3+240000x2+2520000x where p is the profit in Pak Rs and x is the production level in thousands of units. How many units should be produced to maximize profit? 2. Find the local extrema of following equation with the second derivative test. REFER TO IMAGE FOR EQUATION AND VALUES FOR BOTH PARTS
a. Find the function f given that the slope of the tangent line to the graph of f at any point (x,f(x)) is xe-2x and that the graph passes through the point (0,3). b. In keeping with the projected increase in worldwide demand for steam coal, the boilerfiring fuel used for generating electricity, the management of Consolidated Mining has decided to step up its mining operations. Plans call for increasing the yearly production of steam coal over its current level by: 2te-0.05t million metric tons/year for the next 20 years. The current yearly production is 20 million metric tons. Find a function that describes Consolidated’s total production of steam coal at the end of t years. How much coal will Consolidated have produced over the next 20 years if this plan is carried out?
find the equation of tangent line of function f(x)=csc(x)-cos(x)1/2 at the point ((2*3.14)/3, (4+31/2)/2(31/2))
gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the graphingprocedure to sketch the general shape of the graph of ƒ.65. y′ = (8x - 5x2)(4 - x)^2 66. y′ = (x2 - 2x)(x - 5)^2
Number 17. You have to find f'(x) and also the equation of the tangent line to the graph at x=a. Thanks!
Your job is to find some shortcuts for taking derivatives. For example, if the function is of the form y = c, where c is a constant, then you know the graph is a horizontal line, with a slope of zero, and you don't have to even go through the limit gyrations to get the derivative.
The function f is defined by f(x)=x/(x+2). What points (x, y) on the graph of f have the property that the line tangent to f at (x, y) has slope 1/2?