The function f(x) = x? is transformed to 2 -(x + 4)² – 2 g(x) = -- Select all of the transformations that occurred from f(x) to g(x)

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

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Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

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Q: Consider the function f(x)=2x3+9x2−108x+5,  −6≤x≤4f(x)=2x3+9x2-108x+5,  -6≤x≤4. Use the derivatives…

A: Given, f(x)= 2x³+9x²-108x+5 -6<=x<=4

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: find the derivatives of f(x)= (-3+x^-3)(-4x^3+3) using product rules.

A: We need to find the derivatives of f(x)= (-3+x^-3)(-4x^3+3) using product rules.

Q: Differentiate f(x) =- from the first principles. x2+3

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Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: Find the first derivative for the following function. x5 – 4x3 g(x) = бх3 + 5х A. g'(x) =…

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Q: Compute f'(3), where f(x) = x2 - 8x.

A: For a function f(x) its derivative is given by the definition limh→0f(x+h)-f(x)h. For some standard…

Q: Find the derivative of f(x) = (2 - 3x) (-5x + 4). O 2 О 22-30х О зох + 22 30x + O 15x + 8 None of…

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Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: Find the derivative of the function. y = In (8x 3- x 2) 24x-2 8x2 - x %3D 8x-2 O 8x2 -x 24x-2 8x2…

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Q: For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include…

A: Obtain the derivative of the function k(x) as follows.

Q: Find (f-)'(a). f(x) = 4 + x2 + tan(Tx/2), -1 < x < 1, a = 4 %3D (F-1)'(a) =

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Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: 1. How will the function f (x) = (x – 6)° + 5 be transformed from its parent function? -

A: Given function, f(x)= (x-6)6+5 The parent function is g(x)= x3

Q: find inverse of funchion. f(x) : 3x2+ 4x-3

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: find the derivative of f(x)=((x2+4) / (x2- 4))3

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Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: Find the critical number of the function. f(x) - 3x + 3x2 + x

A: If f'(c)=0, or is not differentiable at c, then c is a critical number. Therefore, we must set the…

Q: Sketch the graph of:

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Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

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Q: Let f and g be the functions defined for x > 0 by f(x) = (Væ)* and g(x) = (Vx)** Which function is…

A: According to the given information, Consider the function f and g defined as:

Q: find f'(x) for f(x) = 2xtan-1 x - ln(1+x2)

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: Find f'(2) for f(x) 2 (x-)-

A: Given; f(x)=(x-1/x)^2 We have to find f'(2)=?

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Find the derivative of g(x) = 4x 1+4* •

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Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

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Q: f(x)=5e^−2x^3+8x^8 f'(x)=

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Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: 7.If f(x)= 2x – 1 and g(x)= x² – 2x, find f(3)/g(2). -

A: Given fx=2x-1 and gx=x2-2x. To find: f3g2 Solution: Finding f3.  f3=2·3-1=6-1=5 Now, finding g2.…

Q: Find the first derivatives: 3. g(x) = (1 + 2x²)(x – x²)

A: As per bartleby guidelines we only give first question answers.

Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

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Q: C. Show that f(x) = (x26)² has no inverse on the interval (-∞,0).

A: Since you posted two questions here, i can answer only 1. Please reupload second question again.…

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: Determine where f(x) = x² – 2 is increasing and where it is decreasing.

A: Given: fx=x2-2 The graph of the given equation is,

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…

Q: Find the derivative of f(x) = 4x5 +3x + 3 f(a) = 4x + 6x + (a) = 20a + 6æ + a f (x) = 4x4 + 3x + ¤…

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Q: Compute the derivative of g(x)=(x5-2x4+7)/x2

A: Derivative of function

Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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Q: Find Higher Order Derivative: f(x)= x5-16x3 - 1/x; f''(x)= ? O 20x3 - 96x - 2x(-3) O 60x2 - 96 +…

A: The given function is: f(x)=x5-16x3-1x

Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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