eal function f(r) = a2, th Ibe 20. 2+1 (c) f(x) = 3- a=

Q: Plot the function using a graphing utility and find its critical points and extreme values on [−5,…

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Q: estion Stlon 4 Find F'(x) given 5x F(x)= ] s*ds. %3D -5x

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Q: B) Derivative following functions by using chain rule method 1) y = 5u³- u? , 2x = 4u? 2) у %3D |1 ,…

A: Answer (1): Given that, y=5u3-u2, 2x=4u2 Suppose fgx Then, to find the derivative apply the chain…

Q: Using a Derivative Let f'(t) f(5).

A: Given that f'(t) <0 in the interval (2,8).

Q: B. Compute the derivative function f using the definition of the derivative. Show your complete…

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Q: Verify f(x). direction delta function 8(x - a)

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Q: limit.

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Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: Find the critical points of the function. Then use the Second Derivative Test to determine whether…

A: Given function is

Q: (a) Find the linearization of f () = at a = 4. x+1 Enter the linearization using the equation…

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Q: Find the derivative of the function. State the domain of the derivative. f(x) = [In(x)]6 f '(x) =…

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Q: f(x) = (- 3x_1 3

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Q: Use second derivative test, If f(x) 4x +4 then f(z) has a local maximum at the point %3D I = -3 T= 3…

A: This question is based on maxima and minima of function.

Q: Find the absolute extrema of the function on the closed interval. y = x ln(x + 6), [0, 3]

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Q: ) Calculate the derivative of f1 (x) = 2x4 - 3x3 + 1/2x2 + 3. b) Study the sign of the derivative…

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Q: Find the critical point and determine if the function is increasing or decreasing on the given…

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Q: Consider the function              f(x) = x^2 -x +1 / x^2+1 If you were asked to find all the…

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Q: (3-x, xs1 Consider the function given by f (x) = Is the function continuous, %3D x -x+1, x>1…

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Q: Sketch graph also determine the location of critical point and determine its nature? (Second…

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Q: A right triangle has one vertex on the graph of y=x3,x >0 at another at the origin,and the third…

A: The right triangle which has one vertex on the graph of y=x3,x >0 and another at the origin,and…

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: fx=x4-8x3+9

Q: 2. (a). Write the distance from point P(c, y) on the line y = 2x to the point (3, 3) as a function…

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Q: Searches related to the height of a plane is the function of the time since take off. Identify the…

A: Given that:   The height of a plane is the function of time since take off.

Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: critical point of y = x² In x

A: y=x2lnx Differentiate both side with respect to x ,we get dydx=2xlnx + x2×1x      = x(2lnx+1) Now,…

Q: 17. f(x) = x2 + x – 3

A: Answer is f'(x)= 2x+1. Explanation is given below using the limit process....

Q: Find the absolute extrema of the function on the closed interval. y = x ln(x + 4), [0, 3]

A: Given function: y=x lnx+4,0,3 First we shall diffrentiate the function to determine the critical…

Q: he function f(x) = xe" has one critical point. Find and classify it. (x) has v at the critical point…

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Q: Differientiate the function y= (x²+6) Inlx'th)

A: Given that: y=(x2+6)ln(x2+6)

Q: Point Tangent line Function (1,0) 1. y = x* - 3x? + 2 2. y = x³ - 3x (2, 2, ) 2 (1,2) 3. f(x) = 4. y…

A: A  tangent to a curve is defined as a line that touches the curve at only one point. The slope of…

Q: Find the critical point and determine if the function is increasing or decreasing on the given…

A: We first find y' using the power rule

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

A: f(x)=x-x4 To find out local max or minimum we take derivative Lets take first and second derivative,…

Q: Function Interval [1,2] f(x) = -z +4 12 %3D

A: 83)

Q: Find the critical points of the function. Then use the Second Derivative Test to determine whether…

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Q: e Second Derivative Test to find all relative extrema of g(x) = x³ – 3x² +3. Show your work.

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Q: The definition of the derivative function is f′(x)=f(x+h)−f(x)h.f′(x)=h→0lim​hf(x+h)−f(x)​. Use…

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Q: True or false ? If X, f Exi)

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Q: Use second derivative test, If f(x) = 4x+4 then f(1) has a local maximum at the point I = -3 I = -2…

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Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c.…

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Q: Thể limit below represents the slope of a curve y=f(x):

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Q: Second Derivative Test. Consider the function f(x,y) = 4xy + 2ln(x) + 8y

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Q: What are the intervals where the function has a positive first derivative? (d,e) (b,c) (c,d) (e,f)…

A: Recall the fact that the first derivative is positive if the function is increasing in that…

Q: Identify the point of diminishing returns for the input-output function. R is the revenue and x is…

A: The given revenue function is R(x)=-12x3-4x-7  where 0≤x≤2 We know that the point of diminishing…

Q: function with form y = ax

A: Given,  A power function y=axp passes through the points 3,781 and 6,71296. The equation of power…

Q: Q/ By uesing chain rule Find du - de For this functions ?

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Q: QI) Find the critical local extreme points (if any) to the function f(x,y) = -2x +y +8x-8y

A: Put first derivative wrt x and y  zero for critical point

Q: 3.2 The Derivative as a Function ) Usc the Definition, f'=f(xth)- fcx), to find | ん the derivative…

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Q: The participation rate is the number of people in the labor force divided by the civilian population…

A: Given that,  Let L(x) represent the size of the labor force in year x, and P(x) represent the…

Q: Efistheidentity function f(xt =X- than forany Value af c つをX

A: Definition of limit - If f(x) is a function defined on an interval that contains x =a , except…

Q: 2. Is it possible for a function f(x, y) to satisfy both f(1, 2) = 5 and f(0,0) = 5? If yes, gi- an…

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