Use the information in the following table to find h' (a) at the given value for a. f(x) g(x) f'(x) g'(x) 9 3 1 X 0 123 4 7 = 57 7 434 4 h(x) = f(g(x)); a = 0 h' (0) 0 1 338 4223 9

Q: If ƒ(x) ƒ'(x) = - 53 x - 7' what's f'(x)?

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Q: 39.3

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A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

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Q: If f(3) 5 and f '(x) 2 2 for 3 < x < 5, how small can f(5) possibly be? Need Help? Read It Watch It

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Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

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Q: -2 -1.5 g(x) --1 -0.5 a 1.5- -1- -0:5- --0:5- -1- -1.5- -2- f(x) 0.5 g(x) 1.5 2

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Q: The graphs of the functions are shown in the Let h(x) = f(x) g(x) and k(x) = f(x) g(x) & figure. ,…

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Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

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Q: I. Differentiate the given functions: 1. f(x) = 3e* – 9* 2. f (x) = In V6x +7 3. f(x) = x²e* %3D

A: Solution:Given : 1. fx=3ex-9xlet f1(x)=3ex and f2(x)=9xtherefore f'(x)= f1'(x)-f2'(x)f1'(x) = 3ex…

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Q: Write all answers with numbers rounded to two decimal places. In Calculus the derivative of…

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