Let 2x2 +7x +13 r+1 12+5 +1 (a) Find f(x) and f"(x). (b) Use f(x) to identify critical numbers and use the second derivative test to determine the local maximum and local minimum (c) Determine intervals of increase and decrease and (d) Intervals of concavity and inflection points, if any. (e) Sketch the graph of f(x). What line is the slant asymptote? What line is the vertical asymp- tote and why? Show them on the graph

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

A: Here we find critical points for given function.

Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: Consider the function defined by f(x)=4-x2,                       x≤0 -2x,…

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Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

A: Given,

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

A: critical points of g(x) are those values of x where g'(x) =0 or g(x) is not defined.

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Q: the derivative of the function by the limit process. f(x) = x²+x-3

A: Topic:- limits and calculus

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A: You first need to find out the critical points then increasing and decreasing interval. And then…

Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

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A: Given function is fx=x2-8x. To find: (a). The critical number of f. (b). The open intervals on which…

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A: Given function is: fx=-x2-4x-6 To find the critical point.

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A: f(x)=x2+6x+10

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A: for part a see 2nd step. for part b see 3rd step.

Q: a. Locate the critical points of ƒ.b. Use the First Derivative Test to locate the local maximum and…

A: Given ƒ(x) = 2x3 + 3x2 - 12x + 1 on ⌊-2, 4⌋ (a) Find the critical points first dfdx=6x2+6x-12 Put…

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Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

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Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Solution:Given        f(x)=xe-3xTo find:(a)Critical Point(b)the open interval where the function is…

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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…

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A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

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Q: EXAMPLE 6 Using the second-derivative test Use the second-derivative test to determine whether each…

A: Given Equation: f(x)=3x5-5x3+2

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Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

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A: Given function f(x)=17+4x-x2   ; [0,5]

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A: Given  fx=5x6-14x4 f'x=30x5-56x3 Let f'x=0      30x5-56x3=02x315x2-28=02x3=0    or     15x2-28=0   x…

Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Investigate the connections between key properties such as increasing/decreasing intervals, local…

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Q: Find the absolute maximum and minimum values of f(x)= 1/4x^4 -x^3 on the closed interval [ -1, 4].

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Q: Use the First Derivative Test to find the x-value(s) at which the function 4 f(x) = x4 - 4x² + 1 X.…

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Q: The function f(x) = 2x³ 24.x2 + 42x + 6 has derivative f'(æ) = 6x² – 48x + 42 - f(x) has one local…

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