a) ƒ' (x) = = 1 for all 0 ≤ x ≤ 4. b) f'(x) > 0 for all 0 ≤ x ≤ 4. c) f' (3) = 0 d) f' (3) = 1 > > >

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=0

Q: -6 -110 -5

A:

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Property Interval f'(x) > 0 (-0,-2), (-2,0), (4, 6) f'(x) 0 f"(x) < 0 Asymptote at r = -2 and a = 2…

A: Given the properties of the function,  f'(x) &gt; 0  on intervals That means the graph of f(x) is…

Q: 6= (番+)(5x1さx) . Fiuo oia)

A: We havve to find derivative of given function. We have given fx=3x5+x35x4-3x2…

Q: Below is the function f(x). -12-11-10-9-8-7-6-5-4-3 16 4 4 A N 2 w + 5 6 7 8 9 10 11 12

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Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

A:

Q: Sketch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0…

A: We have to draw the graph of the function which satisfied all the conditions given below. i.…

Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: Please

A: Given function is Differentiating both sides with respect to x , we get

Q: Differentiate the function f. Use the form f'(x) = f(x) = 9x² + x + 8 f'(x) = = lim h→0 f(x +h)-f(x)…

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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

A:

Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

A:

Q: if f(1) = 10 and f'(x) = 2 for 1≤ x ≤4, how small can f (4) possibly be?

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Q: On what interval(s) are the following functions continuous? a) f(x)=sqr(x-2) b) f(x)=x^2-2x+1 c)…

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Q: Let/be differentiable for all x, lff(1) = - 2 and f'(x) 22 for all xe (1, 6), then find the range of…

A: f(1)=-2  f'(x)&gt;=2  for 1&lt;x&lt;6

Q: The graph of f'(x) is shown below. Give the interval(s) where the graph of f(x) is concave up. y =f…

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Q: of a function that satisfies all of the Sketch the graph conditions. Explain. f'(0) = f'(z) = f'(4)…

A: The given conditions  if

Q: Pls help ASAP

A: The given information:To Sketch: The graph of the function with above information.

Q: On what open interval is  f '  an increasing function?   For which value of x is  f '(x)  minimum?

A:

Q: (b) Suppose f'(x) > 1 for all x > 0, and f(0) = 0. Show that f(x) > x for all x> 0.

A: We will be using mean value theorem

Q: Sketch a graph of the function that satisfies all of the given condition. f'(1) = f'(-1) = 0, f'(x)…

A: f'(1)= f'(-1) =0 When derivative is 0 then there will be maximum or minimum at x=1  and x=-1…

Q: Find all extreme value (if any) of f(x)=3x^½ + x, on the interval [-1/27, 1/27]

A:

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: Given f'(x) = 4x³ + 12x², determine the interval(s) on which f is both increasing and concave up,…

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Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).