The limit represents f'(c) for a function f(x) and a number c. Find f(x) and c. -x² + 49 lim X→7 X-7 f(x) =

Q: lim2

A: Explained below

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A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

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A:

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A:

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Q: sinh x d Find dx 1 dt t2 + 1

A: We will apply Leibnitz theorem to solve it

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A:

Q: Find f(x)

A:

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A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

A: (b). According to the question, we have to find f'x for the function fx=3x-5x-5. The derivative of a…

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A:

Q: For the function shown in the graph, find the indicated function value and limit. O A. Does not…

A: Consider the graph

Q: 2x2-3x-2 1. lim x→2 x-2

A:

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: For the function f(x) = 4x? +16x + 25, find f'(x) using the definition f(x+ h) - f(x) lim h-0

A:

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A:

Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

A:

Q: d. lim f(x) %D X-3-

A: