Question #3: Let f(x) = x² – 2x. Find: (a) f'(x) (b) f'(-1), f'(1), f'(2) # 3 Answers: (a) (b) (c).

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

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Q: g(x) = 2x + 3 X - 5 Given the functions find g'(x)

A: Inverse of function problem....

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: point(s)  (6.1,y) is/are on the circle  x2+y2=49. Determine the missing coordinate(s) and enter the…

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Q: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

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Q: f(x) = x². Simplify f(x) = f(a) x-a , xa.

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Q: f"(x) = 6x – 2 | and f' (-2) = 3 and f(-2) = 6. Find f' (x) = and find f(4) =

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Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Find (f-¹)'(a). (f-¹)'(a) = f(x) = 4x³+4x² + 5x+7, a = 7

A: I have appended the formula used in the solution part of the question

Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: Find all complementary functions of the equation xy" - 2y'=0, x>0 1, x² x₁ x³ a. b. C. d. x, x(Inx)²…

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Q: r 4-5x 3. f(x)=- ; f'(-1)

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Q: f(x) = 3x² (1 + 7x-3

A: The given function is:fx=3x21+7x-3

Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Given f (7) = 3, f' (7) = 7, g (7) = -1, and g' (7) = 9, find the values of the following. (a) (f9)'…

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Q: Calculate y" for the function y = 5x' – 7x² +16

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Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

Q: Find f. f(x): = f"(x) = -2 + 30x - 12x², f(0) = 5, f'(0) = 12

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Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

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Q: For the function f(x) = -2ex, find f''(x), f''(0), f''(7), and f''(-9).

A: Solution :-

Q: f(x)= if'(-3)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: 7x2 + 8x + 6 If f(x) then: f'(x) = f'(4) =

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: 4x + 3 Find the inverse of f(x) 1 ƒ-'(x) =

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Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

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Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

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Q: Consider the following function: Step 1 of 4: Determine f'(x) and f"(x). Answer f'(x) = = || - 1x4 +…

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Q: Find the x-coordinate(s) for the point(s) of inflection f(x) =(3x-2) - 4(2x 1)

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