Complete the full analysis of the following exercises: 1- y = e* (x² - 3) The full analysis consist on 8 steps: • Domain of the function • Symmetry • Intercepts • Asymptotes • Domain of the first derivative and make the first derivative equal zero (Critical points) • Intervals of increasing and decreasing • Domain of the second derivative and make the first derivative equal zero. • Intervals of concave up and concaye down

Q: gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the…

A: Given that the first derivative of the function is  y'=(8x-5x2)(4-x)2

Q: 5)y= (1-メ) draw the function using the graph Of a x3 se con d derivatives, twist points. n formation…

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Q: 4. The graph of the first derivative of a function ƒ is given below. yA y= f'(x) 3 5 7 (a) On what…

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Q: Determine the point(s) at which the graph of f(x) =  -4x/square root of 2x-1   has a horizontal…

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Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: Suppose the function f has second derivative f"(x) = x²(x – 6)ª(x + 2)3(x2 – 1). (a) How many…

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Q: Given the function g(z) = 6z + 54z² + 90z, find the first derivative, g'(x). %3D = (z),6 Notice that…

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Q: Given the function g(x) = 8x – 84x? + 240x, find the first derivative, g'(x). = (x),6 Notice that…

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Q: Use the first & second derivatives to answer the following questions: What are the critical points…

A: To Determine: a) find first and second derivatives b) what are the critical points of f ? c) where…

Q: Given the function f(x) = (x-4)2 + (y-5)2 (i) Find the critical points.  (ii) Using the second…

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Q: For the function y= x² -8x +20 a. Determine the critical points  b. Use the sign test to classify…

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Q: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: 4 4) (i) Find the equation of the tangent line at the point (2, 4) for the curve, f(x) = x². (ii)…

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Q: 16. Find the equation of the line tangent to the function f(x) --3a +4, at r = 0. Show all work. %3!

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Q: Find the critical points of the function. Then use the second derivative test to classify the nature…

A: Introduction: If the critical point of the function fx,y is a,b. then fx,y has local minima at a,b…

Q: 2n y = 3x + sin 6x, - SxS Identify the inflection points and local maxima and minima of the function…

A: Given function : y = 3x + sin 6x The point of inflection is found using the double differentiation…

Q: 8) For the function y = x³ – 9x2 + 24x + 13, use the second derivative tests to: a) determine the…

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Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Given         f(x)=sin-1x , a=π12

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: We will do partial fraction and find out local Maxima points.

Q: FINAL EXAM Page 2 of 28 Previous Next If f(x) = 4x² +8x + 5, find f' (x) using the limit definition…

A: We have to find derivative.

Q: 3. Use derivatives to find the critical points anc (a) f(x)= x³ – 9x2 + 24.x + 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: %3D Apply the Chain Rule to find the tangent line to f(x) = 4v2x- 6e2-*at x = 2

A: We want to find the tangent of the given function at x=2 We know that slope of the tangent at a…

Q: gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the…

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Q: Given the function g(x) = 8x + 96x + 360x, find the first derivative, g'(x). %3D = (x),6 %3D Notice…

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Q: 1.Use the second sufficient condition for an inflection point (the third derivative test) to find…

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Q: Given the function g(x) = 4x° + 30x2 + 48x, find the first derivative, g'(x). gʻ(x) = Notice that…

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Q: b) Find the inflection points. 4. For the given function find the local extrema using the Second…

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Q: 9. Given the function f (x) = 3x -4x2 + 2, use the first and second derivative tests to find: a) the…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: 1. Sketch the graph of the function 4x f(x) = x E (-00, 00) 1+4x² Be sure to calculate the local…

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Q: 2. Let f (x) = 5x2 –7. (a) Use the definition of the derivative, f'(a)= lim s(a+h}- f(@) %3D A-40 to…

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Q: b. Use the Second Derivative Test to find all local minima and local maxima for g(x).

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Q: Find the critical numbers of the function f(x) = 14x + |x|. In the answer boxes below, enter the…

A: Given: f(x)=14x3+|x| Definition: Critical points are the points where the derivative of function is…

Q: Use the first & second derivatives to answer the following questions: What are the critical points…

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Q: he tangent line to y= f(x) at (-7, -6) passes through the point (-9, -2). Compute the following.  a)…

A: GIVEN DATA : Equation y=fx                         Tangent of the y=fx at -7,-6 passes through the…

Q: 2. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x,…

A: Given: The graph of function fx=x as To determine: The complete table  Using left side of function…

Q: Find the critical points of the function h(x) = 3x – 4r³ – 72a + 5 Enter your answers from smallest…

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Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test…

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Q: 11. (a) Find F'(x) using the limit definition of the derivative if F(x) = F'(x) will result in zero…

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Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

A: To find the local maxima and local minima of the below function. fx=2x3−3x2−12x

Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

Q: 24. Consider the graph of y = Use limits and 1+ eax first derivatives to determine how the shape of…

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Q: * The tangent line to y = f(x) at (-4, 10) passes through the point (-5,-10). Compute the following.…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If…

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Q: Q 1. a) Let y = x® – 5x³ + 5x* – 10. Then find minimum and maximum values. b). By using definition…

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Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: 2. Analyze using the tools of Calculus and sketch the graph of f(x) = x4 - 3x³ + 3x? + 1. There must…

A: Given,            f(x) = x4 - 3x3 + 3x2 + 1

Q: Consider the function h(x) = ((x^2) - x) / ((x + 1)^2), which has first derivative h'(x) = (3x - 1)…

A: To find the vertical asymptotes, locate and classify all relative minima and maxima and point(s) of…

Q: f(1.g) = f (x.y) x =3, y=D check whether the function , derivartive at points x=0 and contin vity…

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