5- 8 g(x) 7. 4 h(x) 6- 3 5 4 2 3 2 1 1 1 2 3 x-values 4 1 2 3 х-values If f(x) 9(x) then h(x)' y-values y-values

Q: 5+ 8. 8(x) 7 h(x) 6 5 4 3 2 1 1 1 5 3 х-values 2 х-values g(x) If f(x) = h(x) then f'(3) = %3D…

A: Given: The graph of function gx and hx as and fx=gxhx, To find: f'3.

Q: (x+1)+-y² Suppose g(x, y) = {(x+1)++y² ' (-1, if (x, y) + (0,1) if (x, y) = (0,1) Find g,(0,1) and…

A:

Q: x2+4 The critical numbers of the function: f(x) = **4 are ... (a) 2,-2 only (b) 4, 0 (c) 0 only (d)…

A: For critical point first derivative must be zero

Q: x/3 - 2 Use fx) = x - 3x3 and its derivative r(x) = to find each of the following. Find the critical…

A: Since, you have post the multiple sub parts. I am answering the first three sub part's. please post…

Q: 1. An investor invests is a start-up company. The profit in dollars for æ thousand dollars invested…

A:

Q: 7) Find all absolute extrema in the function h(x) = cos 3 on the interval [0, 2]. 8) Find all…

A:

Q: F(x) = x^4/5(x-8)^2 Find the critical numbers of the function Find the values of x in the domain F…

A: F(x) = x^4/5(x-8)^2 Find the critical numbers of the function Find the values of x in the domain F…

Q: ) Given that f(x) = 3x - 2 g(x) = 4x + 6 and h(x) = 2x2 -8…

A:

Q: 5(=) = 4 Identify the intervals of increase and decrease of the function f(x 1+z2 O A decrease in…

A: Consider a given function isfx=41+x2.Determine in which interval whether the function f isincreasing…

Q: 4(x - 1) Ax) %3D 1. Domain. 2. Intercepts. 3. Odd/even/neither (use algebraic criteria). Conclusion…

A: We are answering only three subparts as per our honor code. The function f(x)=4x2-1x3, we have to…

Q: sgn([-0.2]) + sgn(0.2) = 0 F O * 2.4 y+- 2x3 + If+= xy then , y' Vy x+- FO * 2.1 x-1 + The f (x) =…

A:

Q: 1. How to solve the values of x to find the critical values of the graph of a polynomial function?…

A:

Q: The function f(c) = x – 18x + 12 has a derivative of f'(x) = 4a-36 = 4x(x? - 9). Determine the…

A: Givenf(x)= x4-18x2+12f'(x)= 4x3-36x= 4x(x2-9)

Q: h(x) 4 7 6- 3 5 4 2- 3 g(x) 2 1 1 1 2 x-values 4 1 2 3 x-values 4 g(x) x) = then h(x) ) = Preview 3.…

A: Given: fx=gxhx To find the f'(x), Differentiate f(x) with respect to x f'x=ddxgxhx Use quotient rule…

Q: An unknown constant Determine the value of the constant a for which the function x + 3x + 2 ifx + -1…

A: Given: f(x)=x2+3x+2x+1if x≠-1          aif x=-1 To determine: Value of the constant a for which the…

Q: 3. How many critical points does f (x) have? А. 1 В. 2 С.3 D. 4 E. 5 F. None of these. 4. When is ƒ…

A: Consider the graph of the derivative of the function fx. here, the objective is to determine: 3)…

Q: 4- 543 2 O f(x) has horizontal point of inflection at x=-2 O f(x) has the relative maximum at x-0 O…

A: Point of inflection is the Point where function change it's sign. At local maxima function having…

Q: 5 8 4 h(x) 6 8(x) 3 4 2 3 1 1 1 5 3 2 x-values 4 5 1 3 2 X-values g(x) then h(x)' If f(x) = f'(4) =…

A:

Q: 6. 8. 4 h(x) 7- 3. 5. 4- 2- g(x) 3- 2. 3. I-values 4 4 X-values g(z) If f(z) = h(z) then S (1) -…

A: Given,             We have to find f'(1)

Q: jestion 17 (k – 5)x«+1) k – 4 ind the derivative of >. (k – 5) (k + 2) x«+2) k – 4 (k – 5) kx®) Σ k…

A: Differentiate wrt x

Q: 5- h(x) g(x) 7- 6- 5 2 3 - 1 2 3 x-values 1 1 3 x-values If f(x) = g(x) · h(x), then f'(4) = | 2. 4.…

A: fx=gx·hx and graph of gx and hx are given as below

Q: 29-42 Find the critical numbers of the function. 29. f(x) = 4 + x - 30. f(x) = x' + 6x - 15x 31.…

A: The critical number of a function is obtained by the equation f'(x)=0.

Q: 8. A function g(x) is continuous on the interval (-4,4] and its first and second derivatives have…

A:

Q: 15. Domain (x : x 2 0}: ƒ-'(x) = Vi - x² ; domain {x : x < 0}: f-'(x) = - y=f-(x) 1.5 y=f(x) 0.5 2

A: Consider the given function f-1x=1-x2x So, the function f-1x is defined if  x≠0  and 1-x2≥0⇒x2≤1⇒x∈[…

Q: -5-4–3–2- 1/2 3 4 5 6 7 8 -10 -15 -20 -25 -30 (a) The interval(s) on which f is increasing. (b) The…

A: Graph of function f To find the approximate intervals or points (a) The interval(s) on which f is…

Q: 8 7 h(x) 4 8(x) 4 3 1 1 1 3 x-values 5 1 3 х-values 4 5 If f(x) = = g(h(x)), then %3D f'(2) = 3.…

A: At first try to find the expression of g(x) and h(x) in terms of x. Then you can find easily the…

Q: 3+ 2 2 3. The graph of g. 31. The graph of the differentiable function g is shown above with a line…

A: Derivative of function at any point gives the slope of line tangent to the function at that point.…

Q: 6. Find the critical point(s) of f(x) = -9+ x². Use the Second Derivative Test to determine if the…

A: 6)f(x)=-9+x2Diifferentiatef'(x)=2xFor critical points f'(x)=02x=0x=0Substitute x=0 in…

Q: 4 - x2 (4 – x²)² ' a. Critical value(s): b. Local maximum(a) and/or minimum(a): c. Interval(s) where…

A: Given query is to find critical points , local maximum and minimum and interval of increasing and…

Q: 9- 5 8 4. h(x) 7- 6 3 5 4 2 3 2- 1 8(x) 1 1 3 х-values 4 1 2 3 х-values 4 g(x) then h(x)' If f(x) =…

A:

Q: I +1 x2 – 1 3 at x = 4 1. f(x) = 3x2 + 2x +1 at x = -2 5. h(æ) : at x = 1 2. f(x) = 9x - 1 at a = 1…

A:

Q: 3. f(x) = --x- 1) + 2 4. f(x) : :--x+1- 5 Starting Pt: Inc or Dec: Starting Pt: Inc or Dec: Domain:…

A: Solution is here

Q: 10x+2 Find all critical values for f(x) = %3D 10x²+4x+3 The critical values occur at x =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the maximum and minimum values of the function f(x) = ln(x)/x on the interval [1, 3]

A: It is given that, f(x)=lnxx on the interval [1, 3]   First derivative of the given function is,…

Q: 24. In many physical problems the nonhomogeneous term may be specified by different formulas in…

A:

Q: x'+2 . Show that g(x) = has a unique fixed point in [0,1] and find an approximation to 9. the point…

A:

Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative…

A: According to the guidelines, since there are more than 1 question, only one will be answered. Kindly…

Q: 1. The derivative of a constant is equal to A. -1 C. 1 B. 0 D. 2 2. If ƒ(x) = −5π, then ƒ'(x) is…

A:

Q: V. HIGHER DERIVATIVES AND CHAIN RULE (1+t)² 1. x = 2. y = x²(x – 1)°(2x – 5)² 3. f (x) = /1+ v1 – x…

A: second derivative

Q: If f(x)= X-2 x2 +4 then what is the derivative of fat x=-1? %3D

A: We are given that f(x)=x-2x2+4. Now,                   f'(x)=x-2x2+4' Apply the Quotient Rule:…

Q: 20.The function f has a first derivative given by f'(x) = x(x – 3)²(x + 1). what values of x does f…

A:

Q: Problem : Find the derivative of the series 2x 4x2 8z 16z4 32z5 f(x)=1+ 1! Also show that 2! 3! 4!…

A: To find the derivative of the following series.fx=1+2x1!+4x22!+8x33!+16x44!+32x55!+...Also to show…

Q: '5 '5 A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 10,…

A: Given problem:-

Q: 8) The first derivative of the function f (x) is given by its graph. [ A: 3] f'(x) 3 -5 a) Determine…

A:

Q: x2+8z-9 a+6 key values of the function were ADDED together, their SUM total would be: Given the…

A:

Q: Question FHelp The stock price for a certain corporation can be approximated for the years 2010…

A:

Q: B 1. f(x)= (-2x, xS-2 a. (-o, -1), [-1, ∞) -x² -1,x>-2 2. f(x)=- 2x-4 b. (-0, 2), [2, ) 3. f(x)=…

A: GivenMatch each function in column A with its corresponding interval in column B. Write the letter…

Q: e. This function has a point of inflection at ½ and the second derivative doesn't exist at x = 3,…

A:

Q: A first order nonlinear system is described by the equation ẋ = −f(x) where f(x) is a continuous…

A: Introduction: For a system of autonomous differential equation, Lyapunov stability theorem is very…