Find the following using the table below. x g(x) 1 421 4 2 3 4 3 1 2 3 1 3 2 3 1 h' (2) if h(x) = 442 h'(2) if h(x) = f(x) · g(x) f(x) g(x)

Q: 16. f(x)= In ( x²-3x+2 3x2+5x-2/

A: The given function is f(x)=lnx2-3x+23x2+5x-2 We have to find the derivative of f(x).   Note: If…

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: Find the following using the table below. x f(x) g(x) g'(x) 14 74 23 3 1 2 4 3 4 3 h' (2) if h(x) =…

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Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

A: Given f(x)=-3x+1x-3

Q: Find the derivatives of the following function f(x) from the first principles x4+4

A: Form first principal of derivative, use the limit as given below and find the derivative.

Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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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)

A: given

Q: find the derivative of each function

A: To Find: The derivative of  18. fx=2x2-3x3919. fx=x3-5x2-320. fx=13x2-6x+2

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: let (X)> and fre)=2, f ( X) is

A: Answer and explanation is given below

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: Consider the following functions. g(x) = x3 – x h(x) = (x3 – x)4 f(x) = 9(x3 – x)4 Find the…

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Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

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Q: Complete the table by finding the function g(x) and the derivative of g(x) and h(x), if possible.…

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Q: Find the following using the table below. x 1234 f(x) 13 4 2 f'(x) 1234 g(x) 3 12 4 g'(x) 1 2 4 3…

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Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: 1. Find f"(r) for the following functions. 1 (a) f(r) = %3D f"(x) = %3D (b) f(r) = r³/2 – 5x %3D…

A: Given:  a) fx=1x2             =x-2       f'(x)=ddxx-2   Apply power rule xn'=n·xn-1…

Q: f(x) = x' +x² +1 and g(x) = 4 – x²

A:

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: x + 2 Consider the function f(x) Compute each of the following. Simplify your answer and use exact х…

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Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

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Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…