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1) Suppose that the function v in the Product Rule has a constant value c. What...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = ...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = x = (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x = , the function has a local minimum (c) What does the First Derivative Test tell you that the Second Derivative test does not? (Enter your answers from smallest to largest x value.) At x = ,...
(Product Rule) Use the Product Rule to find the derivative of the function. f(x) = (4x+5)(x2...
(Product Rule) Use the Product Rule to find the derivative of the function. f(x) = (4x+5)(x2 -8) O a. 2x + 4 Ob. 12x² + 10x - 32 O c. 8x O d. 8x2 – 40
7. Which of these represents the product rule for derivatives? A. For f(x) = (C *x"), f' (x) = C ...
7. Which of these represents the product rule for derivatives? A. For f(x) = (C *x"), f' (x) = C * r * xr-1 B. Low-d-hi minus hi-d-low, all over low squared C. For m(x) = f(g(x)), m'(x) = f' (g (x)) * g'(x) D. First times the derivative of the second, plus second times the derivative of the first
7. Which of these represents the product rule for derivatives? A. For f(x) = (C *x"), f' (x) = C...
6. Linear Approximation a. Suppose you have a function f(x), and suppose you know df|3 =...
6. Linear Approximation a. Suppose you have a function f(x), and suppose you know df|3 = −4 dx. What is the equation of the tangent line to y = f(x) at x = 3, if f(3) = 7? And give an estimate of f(2.8). b. The volume of a sphere of radius r is V = 1 3 πr3 . Find dV in terms of dr. Then find dV V in terms of dr r , and use it to...
please help me answer All of these questions. Thank you! 1. Use the limit definition of...
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...
Explain in your own words (1). The definition of the derivative of a function f(x) at a point (x1...
Explain in your own words (1). The definition of the derivative of a function f(x) at a point (x1, y1) on its graph. [ It is indicate by f(x)]. (2). Does it exist all the time. (3). How is it related to the slope of the tangent line (4). Give a practical example where the definition is used Note: Two page written project, neatly typed, spellchecked, stapled, and handed in. Deadline: April 26/2019 by 11:59 AM
Explain in your own...
7. (Lesson 3.5) Let S(x)=-8x+16, if x53 [ax+b, if x>3. Find a and b such that...
7. (Lesson 3.5) Let S(x)=-8x+16, if x53 [ax+b, if x>3. Find a and b such that the function(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.) M 8 . (Lesson 3.6) Memorize the following integration formulas, then practice using them. Power Rule: If n*-1, then ſx"dx = --***!+C Constant Multiple Rule: ſk. (x)=k[ /[x]cle Sum/Difference Rule: (x)£g(x)}!x = 5 /(x)det g(x) (b) f(6x–3Vx+dr = — (a) dr = — 9. (Lesson 3.6)...
3. Suppose we want to use the ri-term trapezoid rule to approximate Sinde (a) (3 points)...
3. Suppose we want to use the ri-term trapezoid rule to approximate Sinde (a) (3 points) Make a graph of y= between = 2 and 3 = 4. Draw on your graph the trapezoids used to apply the Trapezoidal Rule with n = 3. (So, your graph should have 3 trapezoids.) (b) (2 points) Does the Trapezoidal Rule overestimate or underestimate the value of justify your answer. 1 dx? No need to (c) (5 points) For the Trapezoidal Rule, the...
W MATHEMATICAL ASSOCIATION OF AMERICA webwork i mat1475-520-sirelson-d601 / derivatives_-_product_rule / 2 Derivatives - Product Rule:...
W MATHEMATICAL ASSOCIATION OF AMERICA webwork i mat1475-520-sirelson-d601 / derivatives_-_product_rule / 2 Derivatives - Product Rule: Problem 2 Previous Problem Problem List Next Problem (1 point) Library/Michigan/Chap3Sec3/Q31.pg Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp comer at 2. The graph of g() is blue. Let h() - f(x) (). Find...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
(Product Rule) Use the Product Rule to find the derivative of the function. f(x) = (4x+5)(x2 -8) O a. 2x + 4 Ob. 12x² + 10x - 32 O c. 8x O d. 8x2 – 40
7. Which of these represents the product rule for derivatives? A. For f(x) = (C *x"), f' (x) = C * r * xr-1 B. Low-d-hi minus hi-d-low, all over low squared C. For m(x) = f(g(x)), m'(x) = f' (g (x)) * g'(x) D. First times the derivative of the second, plus second times the derivative of the first
7. Which of these represents the product rule for derivatives? A. For f(x) = (C *x"), f' (x) = C...
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...
Explain in your own words (1). The definition of the derivative of a function f(x) at a point (x1, y1) on its graph. [ It is indicate by f(x)]. (2). Does it exist all the time. (3). How is it related to the slope of the tangent line (4). Give a practical example where the definition is used Note: Two page written project, neatly typed, spellchecked, stapled, and handed in. Deadline: April 26/2019 by 11:59 AM
Explain in your own...
7. (Lesson 3.5) Let S(x)=-8x+16, if x53 [ax+b, if x>3. Find a and b such that the function(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.) M 8 . (Lesson 3.6) Memorize the following integration formulas, then practice using them. Power Rule: If n*-1, then ſx"dx = --***!+C Constant Multiple Rule: ſk. (x)=k[ /[x]cle Sum/Difference Rule: (x)£g(x)}!x = 5 /(x)det g(x) (b) f(6x–3Vx+dr = — (a) dr = — 9. (Lesson 3.6)...
3. Suppose we want to use the ri-term trapezoid rule to approximate Sinde (a) (3 points) Make a graph of y= between = 2 and 3 = 4. Draw on your graph the trapezoids used to apply the Trapezoidal Rule with n = 3. (So, your graph should have 3 trapezoids.) (b) (2 points) Does the Trapezoidal Rule overestimate or underestimate the value of justify your answer. 1 dx? No need to (c) (5 points) For the Trapezoidal Rule, the...
W MATHEMATICAL ASSOCIATION OF AMERICA webwork i mat1475-520-sirelson-d601 / derivatives_-_product_rule / 2 Derivatives - Product Rule: Problem 2 Previous Problem Problem List Next Problem (1 point) Library/Michigan/Chap3Sec3/Q31.pg Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp comer at 2. The graph of g() is blue. Let h() - f(x) (). Find...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
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