Suppose the only critical values of f(x) are at x = 10, 20, and 30, and f'(x) and f"(x) have the following values: x f'(x) f"(x) 5 -9 10 10 0 9 Based on this information, At x = 10, you guarantee Select an answer At x = 20, you guarantee Select an answer At x = 30, you guarantee Select an answer 15 2 -2 C C O 20 0 -3 25 -10 9 30 0 0 35 -5 -10

Q: x if x20 If Ax) = -x2 then f'(0) if x <0

A: Given function, fx=x2      if x≥0-x2   if x&lt;0

Q: Show that if f (2) = −2 and f'(x) ≥ 5 forx &gt; 2, then f (4) ≥ 8.

A: Given that f (2) = −2 and f'(x) ≥ 5. And also, f(4) ≥ 8.

Q: 12. The function f(x) = ax- x² + bx - 24 has three factors. Two of these factors 2 and x + 4.…

A: NOTE: Refresh your page if you can't see any equations. . the first factor is x-2 which means when…

Q: 1. If f(r) = 3 find f(x) I – 4' |

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Q: A function f has f(25) = 22, f (25) = 2 and f" (x) < 0, for x ≥ 25. Which of the following are…

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Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

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Q: Let f(x) = 1. f'(2)= 2. f'(5)= 3 √x Evaluate each of the following: A

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Q: If ƒ(x) = (x² + 3x + f'(x) = + 3x + 2)², then ƒ' (2) =

A:

Q: f f(x)=- X+1 2x+1 1 = (2x + 1)²* 1 (2x + 1)² O 3x+1 (2x+1)²* 3x+1 O (2x + 1)² then f'(x) =

A: Topic: derivatives

Q: 7. If f(x)=√(1-1²)et² dt, on which interval is f decreasing?

A:

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

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Q: 1. What is f(x) when f(x) = 2x² + 3x² - 2x + 1 O8x³+6x-2

A: Given,

Q: If f(4) = 3 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

A: We have to find the smallest value of f(7)

Q: 6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the…

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Q: Determine the value of k for which f'(3)-2, if f(x) = x+*. x-1

A: Given a function,f(x)=x+kx−1To find : the value of k for which f′(3)=2.Using the quotient…

Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x^2 − 4      x − 2…

A: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = (x^2 − 4)/(x-2) are the…

Q: 6. If f(x)=3x' -+ 4 + 4x +1, find f(x) and f"(x).

A: Given query is to find the Indicated derivative.

Q: 11. If f"(x)=-4sin 2.x, f(0)=0and f'(0) =2, find the value of f 4 %3D

A:

Q: f(2)=-3. f'(2) = 10. g(2)=4, and g'(2) = 1. then evaluate (fg)' at x = 2

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Q: 7 If f(x) = 2 + find f'(x). x2 - Find f'(4).

A: ddxxn = nxn-1

Q: If f(x) = V5x – 3, find f-1(x). 3 3 f-(x) = 5x- x3 C. A. f-1(x) 3 x3 f-'(x) = 5 5 D. C. f-1(x) = 53…

A: To find the inverse of the given function f(x).

Q: Graph the following equation.explicitly state the equation of the asympttote, the x intercept, the y…

A: Given equations: y=-313-x+6 y=-12log2x+4-2

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: 3. If f(x)= kx³ -1 and f¹(15) = 2, find k

A:

Q: The critical points of a function f(x) occur at x = 2 & x = 6 and its 8 second order derivative is…

A: