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Secure https://www.mathxi com/Student/PlayerTest aspx?testl 1520652468 centerwin yes HCC DE Math 1325-0001 (10181 16-weeks Spring 2017 urar Sarsemba Test: Test 2 Time Remaining: 02.1 This Test This Question: 6 pts 13 of 19 (0 complete Consider the following table of values of the functions f and g and ther denvatives D.Mglx) at x 1 is at vanous points. IType an simplified fraction) integer or a a Find DAIglxH) at x 1 Type an integer or a simplified fraction) f (x) g (x) Enter your answer in each or the answer bores

Explanation / Answer

Given

i)derivative of f(g(x)) at x=1

let g(x) = u

derivative of f(u) = f'(u).du

=> f'(g(x)).g'(x)

at x=1

f'(g(1)).g'(1) = f'(4).1/5 = -3/5

ii)derivative of g(f(x)) at x=2

=> g'(f(x)).f'(x)

at x=2

g'(f(2)).f'(2) = g'(3).(-7) = -28/5

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