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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

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  1. myininaya
    • one year ago
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    first we need to differentiate using chain rule

  2. myininaya
    • one year ago
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    (2x)'=?

  3. anonymous
    • one year ago
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    2

  4. myininaya
    • one year ago
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    and of course derivative of g is g' and derivative of f is f' so you have 2*g'(2x)*f'(g(2x))

  5. myininaya
    • one year ago
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    now input 1 for x

  6. anonymous
    • one year ago
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    so ive got 2*9*f'(4)?

  7. anonymous
    • one year ago
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    so would that be 2*9*2?

  8. myininaya
    • one year ago
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    hmm... I understand how you got everything except that 9 that number should be something else

  9. anonymous
    • one year ago
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    i mean 5 instead of 9

  10. myininaya
    • one year ago
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    g'(2) look at x=2 on the table and then find g'(x)

  11. myininaya
    • one year ago
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    oh yes 5 is right

  12. myininaya
    • one year ago
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    sorry ignored your correction

  13. anonymous
    • one year ago
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    Its okay. so would that mean 2*5*2=20. Is 20 my answer?

  14. myininaya
    • one year ago
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    looks great to me

  15. anonymous
    • one year ago
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    Thank you!

  16. myininaya
    • one year ago
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    np

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