1(4) = , re) = -2 x + 2 2(т — 1) 3 f' (x) = 3 and f"(x) = %3D 2(x – 1)2' (x – 1)³ * Find all local maximum and minimum values if there is any. If there is no local extreme values, state the reason.

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Q: differentiate the question 1 to 5

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Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

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Q: Vx+5 1. State the domain of f(x) = 10° using interval notation.

A: The given equation is

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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…

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Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

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Q: If f(x) = X-2 %3D -, then f'(1) = %3D ,2 x+4

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Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

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Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = −2, find h'(2) for h(x) = 2f(x) - g(x) +…

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Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

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: If f(x) = (2-3x)^(-1/2)  , find f(0), f' (0), f" (0) and f''' (0).

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

Q: Given the functions:  y = -2x+22 ,  y=−38(2^x)+24 a) Decay factor b) Decay rate c) Initial value

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Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: (2/x+1)(x– 1) Find the f'(x) of the function f(x) = x+3

A: Given, f(x) = 2x+1x-1x+3 f(x) = 2x32-2x12+x-1x+3 We know that ddxxn = nxn-1  and quotient rule of…

Q: If f(4) = 3 and f'(x) 2 3 for 4 s xs 9, how small can f(9) possibly be? (9) 2

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