From the table below calculate the quantities asked for: x 84 8 4-6-2-4 f(x) 168 16 8 -12 -4 -8 g(x) 59984458484-186-6-52 f'(x) 2 2 2 2 22 g'(x) 21337 20957 97 9 41 (f+g)'(-2) (fg)(4) f(-2)/(g(-2) + 5) (f/g)'(-2)

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

A:

Q: 39.3

A:

Q: to set Up Tutoring: (888) 1. Take the derivative of y = (7+x)(7+z) select Derivative does not exist…

A: The objective is to find the derivative of y=(7+x)(7+x)2 .

Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: 6 f(x) = 7 + find f'(x). Find f'(2).

A: As we know that: The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: fx=7+6x+2x2

Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

A:

Q: Suppose that f (x) is a function with f (0) 1 and f' (0) = 3.1 If g(x) = (f (x))³ , then what is the…

A: We find value of g'(0)

Q: 4) Find the derivative from FIRST PRINCIPLES of √(x) = 2√x (You will need to rationalize the…

A:

Q: -7 Let f(x) 7xVI + f'(x)

A:

Q: The function e(m) represents the elevation above sea level in feet of the Mississippi river a…

A: Given function e(m) represents the elevation above sea level in feet of river at m miles from the…

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: b) Given the following data in table below: f(x) 9.367879 8.233241 7.180350 6.209329 -3.0 -2.8 -2.6…

A:

Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

A: Given,

Q: Given g(x) 4 2-4' g(-2+h)-g(-2) h evaluate and simplify:

A:

Q: 6) Consider the exponential function f (x) = ex* [C:4] a) Determine the n-th derivative of f(x). b)…

A:

Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: If f(3) 5 and f '(x) 2 2 for 3 < x < 5, how small can f(5) possibly be? Need Help? Read It Watch It

A: Given f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 5 We have to find the minimum value of f(5). Let us…

Q: Suppose g(x)= 3 2(1–5x)3 k (1–5x)4' with a derivative g'(x) = - " for some real number k. What is…

A:

Q: -5 -4 -3 -2 5 4 3 2 -1 -1 1 2 4

A: A graph of the function is given.The aim is to find the values of  for which .

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

A:

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: Find f ogohif f(x) =, g(x) = x", h(x) = x + 3. 10 x+1'

A:

Q: If F(x)= 27 0<x <3 then pdf f(x): 9. .2 9X II

A: F(X)=x327 , 0&lt;x&lt;3we have to find probability density function.

Q: ! Given f (x) = {x + 2 if x > 10 lx – 7 if x < 10' D. ! determine each of the following. a.) f(14)…

A:

Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: The function f(r) = In(xª + 4x² + 3) is decreasing on Question 4. the interval(s) a) (0, 0) b)…

A: Given function is fx=lnx4+4x2+3. We have to find the decreasing interval. Decreasing function: Let…

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

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: 6. A conical pile of sand 6 ft. in height has a volume of 27 cu. ft. If the bottom of the pile is on…

A: A conical pile of sand 6 ft. in height has a volume of 27 cu. ft. If the bottorn of the pile is on…