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Please answer for all the questions and provide the steps
. Please answer for all the questions and provide the steps 201 Ch 3 TEST-... Copy...
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please solve all of it, i am trying to compare answers.
Please show all support work in the space provided. Part I: Collecting Data x? f(x)= 2 x-1 1. a. Find the critical numbers. b. Find the maximum and minimum points, if any. Use the First Derivative Test. c. Find the open intervals on which f(x) is increasing or decreasing. Table: Answers: a. Critical Numbers b. Maximum Points (x, y): c. Increasing Intervals Minimum Points (x, y): Decreasing Intervals
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
1. You must SHOW ALL YOUR WORK on the test to receive full credit. 2. Print your name and Id# on the top of the first page. 3. Always give the exact answer(s) in the simplest form unless it's specified otherwise. 4. Box your final answers. GOOD LUCK! 1) (11 points) Find all critical numbers of f(x)=x-Vx. (Show all five steps.) 2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The...
(3) Use the first derivative test to classify the critical numbers of the function s(x) = r -4.r" +17. That is, identify the location of any local maximums or minimums. (4) Find the equation of the line tangent to f(0) = 127-22 at the point (4,8).
1. Find the critical point of f(x) = (x + 1)^. 2. Use the Second Derivative Test to determine whether f(x) = (2x + 12 has a local maximum or a local minimum at x = 0 x(x + 3) 3. Sketch the graph of taking care to explain (x – 3)2 how you deduce all the important features.
Cal 4
, ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
Calculus 1 MAT 201 Final Exam, Spring 1 2019, LAGCC Evaluate the following limits, you may use L'Hospital's rule, if it applies. -V31+4 lim 4-1 -4 a. b. Evaluate the following limit. lim xIn x x-0 2. Evaluate and explain your answer -xsin(x)+cos (x) x+1 130 dx (a.) 130 Differentiate each of the following below using the fundamental theorem of calc part 1 X cos? (1- 51) dt ) g (x) = S_ e (2c) g(t)= J x2t+1 3 Use...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
please help me answer All of these questions. Thank you!
1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...