Use the table below to find X f'(x) g'(x) 1 2 2 5 1 23 3 d dx 345 [3g(x) + 5x] 3 4 1 4 4 5 3 2 |x=1

Q: Verify that f'(x) = 18x² – 9, where f(x) = 6x³ – 9x – 9.

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Q: Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2…

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Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

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Q: Differentiate the following with respect to x: f(x) = x³In (x)

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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: 3. Find f'(x) for f(x) = 3x-4 2x+3

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Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: f(x) = (2x – 3)²

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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: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

Q: 8 6. * f(x) = 7 + + find f'(x). - x2 Find f'(2). | 8

A: To find the derivative we use power rule of derivative formula. Power rule of derivative is…

Q: Find f    if  f'(x) = 7x9 − 5 √x + 3 sin x,   f(0) = 4

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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

Q: Differentiate f(x) = -O.1x - 0.15x³ - 0.5x² - 0.25x + 1.2 at x = 0.5

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Q: Find f(x) if f' (x) = 3x – 2x + 3 and f(2) = 15. - f(z) = Preview %D

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Q: 2. Find f'(x) for f(x) = x²e.

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Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

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

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

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Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

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

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Q: Let f(x) = = 2x³ - 5x² √√x² (a) ƒ'(1) = −2 3 (b) ƒ'(6) = 64√√6 Evaluate f'(x) at the following…

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