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3psilon Group Title

f(x) = x^3*g(x) , g(-7) = 2 , g'(-7) = -9 . What is f'(7) ?

  • 2 years ago
  • 2 years ago

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  1. completeidiot Group Title
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    apply multiplication rule for derivatives i dont remember that actual name for it

    • 2 years ago
  2. love_math Group Title
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    use the chain rule to find derivative of f(x)

    • 2 years ago
  3. completeidiot Group Title
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    "product rule"

    • 2 years ago
  4. miteshchvm Group Title
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    \[f \left( x \right)= x^3 \times g \left( x \right) \] you mean this?

    • 2 years ago
  5. 3psilon Group Title
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    yes

    • 2 years ago
  6. miteshchvm Group Title
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    \[f \prime \left( x \right)= x^3 \times \left( \frac{ d }{ dx } \right)g \left( x \right) + g \left( x \right) \times \left( \frac{ d }{ dx } \right)x^3\]

    • 2 years ago
  7. miteshchvm Group Title
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    \[f \prime \left( x \right)= x^3 \times g \prime \left( x \right) + g \left( x \right) \times 2x^2\]

    • 2 years ago
  8. miteshchvm Group Title
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    \[f \prime \left( x \right)= x^3 \times g \prime \left( x \right) + g \left( x \right) \times 3x^2\] this one

    • 2 years ago
  9. miteshchvm Group Title
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    now to find \[f \prime \left( 7 \right) =7^3 \times \left( -9 \right) + 2 \times \left( 3 \times7^2 \right)\]

    • 2 years ago
  10. love_math Group Title
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    what is g(7), only know g(-7)

    • 2 years ago
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