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jennilalala

  • 3 years ago

PLEASE ANSWER: f(x)= -h(x)- ((x)/(h(x))) h(-2) = -1 h ' (-2) = -1 find f ' (-2).

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  1. freckles
    • 3 years ago
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    Hi! So do you know how to find f' first?

  2. freckles
    • 3 years ago
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    You need to differentiate both sides of: \[f(x)=-h(x)-\frac{x}{h(x)}\]

  3. freckles
    • 3 years ago
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    \[(f(x))'=f'(x)\] \[(-h(x)-\frac{x}{h(x)})'=(-h(x))'-(\frac{x}{h(x)})'=-(h(x))'-(\frac{x}{h(x)})'\] I used the constant multiple rule to bring out -1 and just look at differentiating h(x) Now I will leave the quotient rule to you: Your job is to find: \[(\frac{x}{h(x)})'\]

  4. freckles
    • 3 years ago
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    Let me know what you get. Just post here.

  5. myininaya
    • 3 years ago
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    Did you understand what freckles is asking?

  6. jennilalala
    • 3 years ago
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    yes

  7. jennilalala
    • 3 years ago
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    i got the answer thanks!

  8. myininaya
    • 3 years ago
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    Great! :)

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