You want a linearization that will replace the function over an interval that includes the point xp. To make your subsequent work as simple as possible, you want to center the linearization not at xp but at a nearby integer x = a at which the function and its derivative are easy to evaluate. What linearization do you use? 1( - . xg - 359 1 1 13 12 1 3 +x 12 3 +

Q: -5 4 -3 - -1 2 3 4 5 -2 The above is the graph of the derivative f '(x). How many critical points…

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A: Given,fx = 2xx2 + 4Differentiating the function;f'x = 2x×-1x2 + 42×2x + 1x2 + 4×2f'x = -4x2x2 + 42 +…

Q: onsider the following table of values obtained from the function 1+x2 0.44 0.46 0.48 0.50 0.52 0.54…

A: Note : Given value of f(0.54) is wrong. I used the correct value in answer.

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A: & f3=5. That is, The function fx passes through the point 3, 5. From the graph we can see that,…

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Q: a) Determine the intervals that the function F(x) - х - 3x - 24х It is increasing and decreasing b)…

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Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: II. Use the limit definition of the derivative to find the derivative of the function. 1. f (x) —D…

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Q: In the above table, the formulations to calculate different order derivatives of a function are…

A: The required table for the derivative is,

Q: 5. What is the derivative of 2x*? A. 8x3 В. 2 С. х D. 0 6. Consider the function f(x)=|x-21 at x-2…

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: Consider the following function. A(x) = |7 – 8x| Find the derivative of the function. if x Find the…

A: Given, A(x)=7-8x ⇒A(x)=7-8x, x<788x-7, x>78

Q: 2. Consider the function f(x) = x} – 5x. 5(r – 2) | (a) Show that the derivative is f'(x) = (b) Find…

A: Solve the following

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Q: Find the global extrema of f(x) = xln(x+2) on the interval [-1,2]. You should demonstrate how you…

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Q: Which of the following are local extrema (local maxima and local minima) of the function f(x)?

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Q: 11. Algebraically find the x-coordinate of all points where the given function has a horizontal…

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Q: Find the critical points of the following function. f(x) = 3x? - 5x - 4 What is the derivative of…

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

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Q: Can i get help step by step please?

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Q: Suppose f is a linear function such that f(3) = 6 and f(7) = 1. Find the equation for f with respect…

A: Given,  f is a linear function such that f(3) = 6 and f(7) = 1

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Q: The derivative of the function g(x) = In tdt 4z In(2z) 4ze -4z In(2z) -4ze None of above

A: we have to find the derivative for the function  g(x)=∫e2x3lntdt

Q: Let f be a function with first derivative given by f' (x) = r(x –5)? (x + 1). At what values of z…

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Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. Then use the second…

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Q: 2. Which statement is not true? a. If a function f (x) has a derivative at x, then it is said to be…

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Q: 2. Read this question carefully. Given the derivative f'(x), find the x-value for all relative…

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Q: Let f be a function with f(5) = -2 and whose derivative is If f '(x) = 5x - 9. %3D %3D А. Write a…

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Q: Suppose that the only information we have about a function f is that f(1) = 5 and the graph of its…

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Q: The derivative of y=(3x² – 2)*(2x+ 1)³ can be written as y =6(2x+ 1)"(3x² – 2)"(g(x)) for some n,m E…

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Q: 6. Use the graph of a function y= f(x) to answer the questions about the derivative: a) Which of the…

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Q: 2. Find the Global Extrema for f(x) = Bx4-Be(B-A)x. Use the second derivative to determine if those…

A: Here given function, fx=BxA-BeB-Ax .....1 or fx=AxC-DeD-Cx .....2 Substitute  A=6, B=5 in equation…

Q: Q2: Choose the correct answer between brackets for the following: (answer five only) 1) If y =…

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Q: Consider the function f(x) = 3cos(2x). (a) Find the derivative of f(x). (b) Verify that the…

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Q: Use calculus techniques to establish the first and second derivatives of the following functions and…

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Q: Consider the function f(x) = 9x² +3. Its tangent line at x = 6 goes through the points (1, y1) and…

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Q: Find a linearization that will replace the function over an interval that includes the given point…

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Q: Find a linearization that will replace the function over an interval that includes the given point X…

A: Given: f(x)=  3^square root x , X0=26.7   The value 26.7 is close to 27. So, set the center of the…

Q: b) What is the only critical point of y= |z|? Explain. Recall that a critical point is, by…

A: 2.b) We have, f(x) = |x| So, f(x) = x, when, x >= 0  And, f(x) = - x, when x < 0   So, when, x…

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Q: Two hours after taking the medicine, the patient's temperature is decreasin Find T"(2). T"(2) =…

A: Given, fx=5x+245x-25

Q: 10. Which one of the following statements is False? a. The anti-derivative of a non-constant linear…

A: Important points: anti derivative = integral anti derivative sign= ∫ non constant= variable

Q: (Аx2 + 2Bх — 12 х 2 everywhere.

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