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anonymous
 one year ago
Use the table below to evaluate d/dx [f[g(2x)]] at x = 1
x 1 2 3 4
f(x) 6 1 8 2
f '(x) 6 1 8 2
g(x) 1 4 4 3
g '(x) 9 5 5 4
anonymous
 one year ago
Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 4

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.1first we need to differentiate using chain rule

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1and of course derivative of g is g' and derivative of f is f' so you have 2*g'(2x)*f'(g(2x))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so ive got 2*9*f'(4)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would that be 2*9*2?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1hmm... I understand how you got everything except that 9 that number should be something else

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i mean 5 instead of 9

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1g'(2) look at x=2 on the table and then find g'(x)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1sorry ignored your correction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Its okay. so would that mean 2*5*2=20. Is 20 my answer?
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