3. Fill in the values of f-¹(x) and (f−¹)'(x) for x = 0, 1, 2. Provide detail to support your answers. x 0 1 2 f(x) f'(x) ƒ-¹(x) (f−¹)'(x) 1 4 2 -2 0 1

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,…

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A:

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

A:

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

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A:

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A: px=4-3xx4+7x3

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A:

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A: Solution:

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A: We are given,

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A:

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

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A: Answer

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A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

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A:

Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

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Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

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A:

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A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

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A: Given Function f( x ) as follows

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A:

Q: 4. Fill in the table below by taking the derivative of the listed function or finding function that…

A: Taking derivatives

Q: Step 2: Step 3: Sten 4:

A: