anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
first we need to differentiate using chain rule
myininaya
  • myininaya
(2x)'=?
anonymous
  • anonymous
2

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myininaya
  • myininaya
and of course derivative of g is g' and derivative of f is f' so you have 2*g'(2x)*f'(g(2x))
myininaya
  • myininaya
now input 1 for x
anonymous
  • anonymous
so ive got 2*9*f'(4)?
anonymous
  • anonymous
so would that be 2*9*2?
myininaya
  • myininaya
hmm... I understand how you got everything except that 9 that number should be something else
anonymous
  • anonymous
i mean 5 instead of 9
myininaya
  • myininaya
g'(2) look at x=2 on the table and then find g'(x)
myininaya
  • myininaya
oh yes 5 is right
myininaya
  • myininaya
sorry ignored your correction
anonymous
  • anonymous
Its okay. so would that mean 2*5*2=20. Is 20 my answer?
myininaya
  • myininaya
looks great to me
anonymous
  • anonymous
Thank you!
myininaya
  • myininaya
np

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