Consider the function f(x) = cos(x) - Give the following: A = B = f" (A) = f" (B) = Thus f(x) has a local Min √3 -x This function has two critical numbers A< B in [0, 2]. 2 at B. at A and a local Max

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Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

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Q: Find all the points of discontinuity and classify them for the functions: x² + x (i) f(x) = x3 + x²…

A: Hey, Thanks for the question , "Since you have posted multiple questions as per our guidelines we…

Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

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A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

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Q: a) For the function f(x)=x³ –12x + 5, determine i) intervals where f is increasing or decreasing ii)…

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Q: 4. Determine all possible functions f(x) that satisfy the given conditions. (a) f'(x) = V¤ – 3 x2…

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Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

Q: The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) for t =…

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Q: State the maximum interval over which the solution  is valid.

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Q: x + 2x sin 01: Let f(x)={ . Find f'(0) if it exists. ,x= 0

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Q: csc²a = acote

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Q: A function f(x) has an inflection point at (1,8). Which of the following could have been the result…

A: A necessary condition for x to be an inflection point is f''(x)=0. A sufficient condition requires…

Q: 1) Consider the functions ƒ(a) = 100 – 2¹ª and F(x) = f(t 1² f(t) dt. i. Write a simplified form of…

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Q: Let g(v) = (-v- 3) (6v + 7) Determine the derivative of g. g'(v) -12v- 25 OF Determine the…

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