Let f (x)=x* + 2x³ – 3x² – 4x +4. Find: (a) the critical numbers of ƒ(x); (b) the points at which f(x) has a relative maximum or minimum; (c) the intervals on which f (x) is increasing or decreasing.

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Q: Find and classify the critical points of the function f(x, y) = 4x²y - 2x - y².

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Q: 3. Find all the critical points of the function f(x, y) = e(x² + y²) and determine whether each of…

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Q: Find the critical numbers of the function. f(x) = x³ + x?

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Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: y=2x5+5x2,  -2, 2 Differentiating with respect to x, we get dydx=25x4+52x=10x4+10x Now critical…

Q: 25 f(x)=x²-3x x³ + 20x + 1; 1 = (-3,2)

A: As per the company's guidelines , we are supposed to answer only first question. Kindly re

Q: 5 Find the point X to minimize the function f(x1, x2) =1+¤1 +2x2+ from the strating point X, = using…

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Q: Find the critical points and the intervals on which the function y = -x3 + 12x + 4 are increasing or…

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Q: The function f(x)= -3x^2+2x-4. Find the critical point t At x=t, does f(x) have a local min, local…

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Q: Find and classify the critical points off (x) = 6x°(5 – x)° as local maxima and minima.

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Q: Find the value of x at which the absolute minimum occurs (if it exists) for the function f(x) = -x2…

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Q: Find all the critical points of the function f(x, y) = x³ + y³ – 9x2 – 21x – y - 66 and label them…

A: Local Extremum values:              Consider the function f(x,y) .For critical points , fx(x,y)=0…

Q: ¥ 5) Find all the critical points of f(x)= = = 2 and determine if they are a relative maximum,…

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Q: 26 a. The function f(x)=x- 6x² + 9x-3 is defined on the interval [0,5]. Find the critical points of…

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A: Given :                   f(x) = x4 - 2x2 + 3

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Q: 6. Find the critical numbers and the open intervals on which the function yx'-3x+2 is increasing or…

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