F(X) = x^2 - x (Posted a image for better understanding) 1: Find the linearization of the function f(x) while a = 3. 2: Use demos to find the x interval in which the linear approximation is within 0.01.

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

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

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Q: 2. Let f: (0,-1→ R be a function defined by f (x) = x¯* for every x E (0,-1. Sketch its function…

A: This is a problem of the application of differential calculus.

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 point on the line 4x + 3y -1 0 which is closest to the point (-5, 1). Part 1: Write y as a…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3rVx+ 2 10 4. -…

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Q: ABANATUAN CITY B. Compute the derivative function f using the definition of the derivative. Show…

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Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x 2 0 is the output…

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Q: х*(х — 1) f'(x) x + 2 х+ 2

A: Consider the derivative of the function, f'x=x2x-1x+2,    x≠2

Q: Use f (x) = (x + 2)'(x – 1)* for this problem. A. Determine the critical points for the function. B.…

A: We are given the function f(x)=x+33(x-1)4. For (a), Here,            f'(x)=3x+22x-14+4x-13x+23. For…

Q: Find all the critical points of the function ?(?) = ?^25 − ?^9 . Use the First and/or Second…

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

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Q: Compute the derivatives of the fallowing functions. use any rule but explain what ar methed, did No…

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Q: Question no 1:- f(x) = x²- 6x² + 9x + 1 Question no 2:- f(x) = x³+ 3x² - 9x - 3 Question no 3:- f(x)…

A: As per Bartleby Guidelines, we are supposed to solve only first question if multiple questions are…

Q: The critical values of the given function are x = 6, -6. If the second derivative is positive at one…

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Q: 'm currently learning how to find critical points and to determine the local max and minimum. I also…

A: To find the first and second derivative of the function, y=x53-5x23

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A: Where is f'= 0from figure it is clear that where f"(x)=slope=m=dydx=0 x=0,2Where is f' undefined?A…

Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4.…

A: Topic:- function and derivatives

Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) x= (largest…

A: a) Find the critical numbers of the function fx=x6x-25.   b) Tell about the behavior of f at these…

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A: Calculate the derivative of the given function using quotient rule. y'=3x2x-2-1x3x-22=2x3-6x2x-22

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4…

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Q: Using second derivative test for the critical points of the curve y = x³ - 3x2 9x + 20 , which of…

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Q: 8. Find the critical point(s) of f(x) = -5x² – x + 4. Use the First Derivative Test to locate the…

A: The given function,  f(x)=-5x2-x+4

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2…

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Q: Find the critical point(s) of the function f (x, y) = xy + ln x + 2y . Then use the second…

A: Find critical points, nature of critical points  and relative extrema of the given function.

Q: 27 SECOND DERIVATIVES Find TUTORIAL 22 if y-In (x + 1). Answer 2-2x² 22-2

A: Note:-As per your mentioned request I am solving question 1 from the given picture. Given is…

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Q: Find the critical point of the function. Then use the Second Derivative Test to classify the nature…

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

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

A: Maxima or minima: Let f(x, y) is any function: 1) Evaluate fx=0 and fy=0 for critical point. 2)…

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

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Q: 2) Use the chain rule. (Chapter 2.5) Find the derivative y= (x² +3x)*

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Q: 4.6 optimization #16 -  find the rectangle of the largest area that can be inscribed in a semicircle…

A: Let the length is 2x and width is y, then by pythagorus theorem we have R^2=x^2+y^2

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Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points…

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: The rate of growth of the profit ( in millions ) of an invention is approximated by P ' ( x ) = xe…

A: Given P'x=xe-x2. Thus calculate profit function in millions Px:  Px=∫xe-x2dx       =-12∫e-x2d-x2…

Q: Using second derivative test for the critical points of the curve y = x - 3x² – 9x + 20 , which of…

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Q: 5. f(x) = x* – 4x², x € [–1,|

A: If f(x) is the function, then critical values of the function is obtain by equating the…

Q: Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).

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Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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