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annas

  • 3 years ago

Assume that y is a function of x . Find y' = dy/dx for y/(x^3)+x/(y^3) = x^2y^4 need help with Implicit Diff.

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  1. annas
    • 3 years ago
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    just need some guidance

  2. mukushla
    • 3 years ago
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    \[yx^{-3}+xy^{-3}=x^2y^4\]now use product rule

  3. annas
    • 3 years ago
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    ok thanks now i can do it myself and can you define is wht exactly Implicit Diff. is ?

  4. mukushla
    • 3 years ago
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    well we use implicit differentiation for finding the derivative of a function defined implicitly

  5. annas
    • 3 years ago
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    i m getting this as final answer can you check the answer please ? (5x^4y^7 - 4x^3)/(4y^3 - 7x^5y^6)

  6. mukushla
    • 3 years ago
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    for example \[y=\sin xy\]is a function defined implicitly

  7. annas
    • 3 years ago
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    ok i get it thanks but can you please check the answer ?

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