Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x) 4 2 h'(4) if h(x) = f(g(x))

Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: Given the following information, evaluate f'(5) f(x) = (g(x))^3 g(5) = -3 and g'(5) = 6

A: f(x)=(g(x))3 To find: f'(5)

Q: 2. [4 points] Find the derivative of the following function. 1+2x f(x) 3-4x

A:

Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

A:

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

A:

Q: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

A: given

Q: Find f'(x) for f(x) = ex²+3x+¹¸

A: Given that f(x)=ex2+3x+1

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: 3. (a) Given the function f(x) = 2x³ + 3x² − 12x + 1. Using the derivative formulas, find f'(x). (b)…

A: Given,

Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

A: The given function,   f(x)=5xlnx

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

A:

Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

A:

Q: Let f(x) and g(x) be functions whose graphs are shown below. Which of the following statements…

A: We are asked about the derivative of the function h given a graph of the functions f and g. Note…

Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: 2 7. Evaluate f' (-1) for f(x) =- x X3

A:

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

A:

Q: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

A:

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

A:

Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…

Q: 4. Find F'(8) if F (x) = x

A:

Q: Consider the following. f(x)=x²-6x² + 7

A:

Q: 2. If If ƒ(x) = , find ƒ '(0). et

A: 2) The fx isfx=xex