Find f(x) and g(x) such that h(x) = (f o g)(x). h(x) = (3- 9x)? Suppose that g(x) = 3 – 9x. f(x) =

Q: In the function:  f(x)=(12−3x)e^x  What are the critical numbers of the function?  When is the…

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Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: Find the critical numbers of the function.   f(x)  = 2x3 + x2 + 2x

A: We find the first derivative using the power rule

Q: 38 Find the critical numbers of the function. 25. f(x) = x³ + 3x² – 24x %3D -

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Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

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Q: find all critical points of the function. f (x) = x2 − 2x + 4

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Q: Find all critical points of the function f(x) = 2 – 2x + 2. %3D

A: topic - derivatives

Q: Let h(x)=f(x)g(x). If f(x)=ln(3x2−2x−4) and g(x)=3x−1, what is h′(x)?

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Q: Find the critical point of the following function y= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: 5 - x f(x) = x² – 6x + 30

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Q: Find the absolute maximum and minimum values of f(x)= ln(x^2+3x+15) on the interval [-2,1]

A: We find f'(x) using chain rule

Q: Find all critical points of the function f(x) = x² – 4x + 6 = x

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Q: Find the critical points of the function f(x) = 8x^3 + 4x^2 - 12x + 10 and determine their nature.

A: Solution: Given: f(x)=8x3+4x2-12x+10

Q: Find the critical numbers of the function f(x) =x^6/5-12x^1/2

A: In the given question find the critical point of the given function: f(x) = x^(6/5) - 12 x^(1/2)

Q: Find the critical numbers of the function

A: We first find the first derivative using the power rule

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the positive critical point of the function f(x) = : 8+6 * x =

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Q: Find the critical numbers of the function.   f(x)  = 2x3 - 3x2 -36x

A: Critical numbers are the numbers for which f'(x) = 0

Q: Find the critical numbers of the function.…

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Q: Find the critical numbers of the function.

A: Let f be defined at k if f'(k)=0, then k is a critical number of f.Since, the function is given by…

Q: Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the…

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Q: 8. If f(x) = 4 sin x + 6 and g(x) = 3x + 5, what is the maximum value of f(g(x))?

A: Solution is given below

Q: Find the positive critical point of the function f(x)=x/x^(8)+6

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Q: Find the critical numbers of the function. f(x) = x³ + x?

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Q: The function f(x) = x²e*- ex has a root in [0,2]

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Q: Find the positive critical point of the function f(x) 2+3

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Q: Find the critical numbers for the function f(x)=|3x-4|.

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Q: Find all the critical numbers for the function g(x) = ¼ x4 - x3 - 5x2

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Q: The function f(x) = (6x + 3)e-6a has one critical number. Find it.

A: Given: f(x) = 6x + 3 e-6x To find: Critical number  Proof: We will differentiate the function w.r.t…

Q: Find the critical numbers of the function. (Er g(x) = x6 – 3x4

A: To find the critical numbers we first find g'(x) using the power rule

Q: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: for the funciton f(x) = x^3 - 75x Its local maximum  is____, which occurs at _____> Its local…

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Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b>4B What are the critical numbers of the function?

A: Given:

Q: Let f(x) = 18xe - 1s. (a) f'(x) (b) Solve f'(x) = 0 to determine the critical values of f.

A: Recall: (uv)'=u'v+v'u

Q: g(x) = x' + 3 x² – 24 x

A: The point x=k is said to be the critical point of the function f(x) if Case 1 : f(k) exists and…

Q: f(x) = x3 + 5x² + 2x

A: Given: f(x)=x3+5x2+2x

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: Find the linearization L(x) of f (x)=- Vx -5 at a =3. – 5 2.

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Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: 6 Find the critical numbers of the function f(x) = x5 - * – 12x2 .

A: The given function is  fx=x65-12x12.

Q: Find the critical numbers of the function of f(x) = (x^3)/3 −16x

A: Given function is : fx=x33-16x To find the critical number of point.

Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: The quotient rule of differentiation states that: d dxuv=vdudx-udvdxv2. At critical points of a…

Q: (b) Show that f(x) = ln(x + 2) has a unique fixed point in [0, 2].

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Q: 3. Find the critical numbers of the function g(x)= 5x -8.

A: Given:

Q: a) f(x)= x° (x – 4 )²

A: To find critical number of f(x)=x45(x-4)2

Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will…

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: Find all critical points of the function f(x) = 4x² 3x²-2x+12

A: Here we have to find the critical points.