A function has only one relative minimum at (-5, -1). Which of the following could have been the test results that confirmed this? Select one alternative: f'(-5) = 0, and f'(-6)=1 and f'(0) = 32 f'(-5) = 0, and f'(-6) = 1 and f'(0) = 12 f'(-5) = 0, and f'(-6)=-4 and f'(0) = 1 f'(-5) = 0, and f'(-6)= -1 and f'(0) = -2

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A: Given function is : fx=3x9 The given function can be written as : fx=3x-9

Q: Find f. f"(x) = −4+ 8x - 12x², f(0) = 4, f'(0) = 12 (Prob. 1,

A: Consider the derivative function and initial conditions, f''x=-4+8x-12x2,f0=4,f'0=12 The objective…

Q: 28. Find the critical points of f(x) = x3 – 3x2 - 3. а. (0,—3)аnd (2, -7) b. (0,3)and( 2,7) c. (0,2…

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Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

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Q: If f(5) = 1, f'(5) = 6, 9(5) = –3 and g' (5) = 2 determine: а) (f x 9) (5) b) (72)'(5).

A: Recall: Product Rule: fg'(x)=f'(x)g(x)+f(x)g'(x) Quotient rule: fg'(x)=g(x)f'(x)-f(x)g'(x)[g(x)]2

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A: Given: f ( q ) = 50 + 50 q , where f ( q )  is the profit on selling q units. g ( t ) = t 2 – 12 t +…

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

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Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

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Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

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Q: 6. Apply the First-Derivative Test, to identify all relative extrema of f(x) = x3- Answe homev 16…

A: Given query is to find the relative extrime.

Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: Given that f is one-to-one and f(2)=1, f'(2)=3, f(3)=2, f'(3)=2, deduce, if possible, (f-1)'(2)

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Q: Find f'(x). 4 f(x) = 3x5 (x² - 4) X

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Q: Ex. 4) For F and G functions and given that: F(5) =-1,F'(5) =-3 G(5) = 4 G'(5) = 2 a) If P(x)= F(x)·…

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 6x +8x2 + 3x f'(x) = f'"(x) = f3)…

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Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

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Q: 0,2 0,5 0,6 0,4 0,528 0,3 f(x) 0,224 0,363 0,725 0,960

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Q: Use the given information to find f '(8). f(x) = 4g(x) + h(x) = 2 and g'(8) g(8) h(8) = 7 = -3 and…

A: Given that, f(x) =4gx+hx-1                 g(8)=2 and g'(8)=7                h(8)=-3 and…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

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Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: If F(x) = f(g(x)),

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Q: 4 find f'(1). If f(x) = 2 +

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Q: 4. Consider the graph of a polynomial function below. 2 1 -2 -1 2 4 x -1 -2 a) State the domain and…

A: As you post multiple questions According to guidelines I only solve the first one .

Q: Using the function f (x) = x3 + 0,4x2 + x, the following data set was created.Using this data set,…

A: Solution

Q: 6. у%3D (3х + 1)8 a. y' = 24(3x)7 оъ. у %3 3(24х + 1)" О с. у'3D 24(3х + 1)" O d. y' = 8(3x + 1)7

A: