x³ – 4x² (x + 2)² ' x(x +8)(x – 2) (x + 3)ª 8(7x – 4) (x + 2)* Given: f (x) ,with f'(x) = ,and f"(x) = e. Identify the critical numbers of f and the possible points of intersection of the graph of f.

Q: A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the…

A: We know that point of inflection can occur where the second derivative is 0. It is the point at…

Q: Let f(x) = √√4x² 4x² + 3x + 5

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Q: x*+6x3-1 4. Let p(x) = x5 + 3x² – 1 and r(x) = - x²+x-2 a. How many zeros could p(x) have and why?…

A: We have to solve first 3 parts according to the guidelines.

Q: Find a function f(x) such that ƒ'(x) f(x) = – 6x² – 1 and ƒ(0) = 5

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Q: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

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Q: Let ƒ(x) = (7x² − 7)¹ (6x² − 3)⁹ - Find f'(x) = do not oxpand an

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Q: f (x) = 3r³ – 9x² 1 + x +3 j(x) = x + 7x + 9 Determine p'(x) given p(x) = f(x)j(x). Please don't…

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Q: If f(x) = 3x² +5+ (4x – 3)* | , then f '(x) is - + 5+ (4x – 3)*]" [4(4x – 3)'] B. [3* +5+ (4r -…

A: Given:            fx=3x2+5+4x-349 Solve: f'x           ddxfx=ddx3x2+5+4x-349

Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: f(x) = In (1+x³)

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Q: Given the function g(x) = 2x^2 - x^3  a) Use adding/subtracting functions to explain why g(x) would…

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Sketch the graph of f(x) = (x – 8)*(x + 5)"(x – 1)²(x + 3)6

A: Zeros: -5, -3, 1, 8     For higher even powers, such as 4, 6, and 8, the graph will still touch and…

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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