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MATTW20

  • 3 years ago

use implicit differentiation to find dy/dx of cos(y^2)+x=e^y

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  1. ZeHanz
    • 3 years ago
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    Differentiate both sides, using the Chain Rule: -2ysin(y²)*y'+1=y'e^y. Now collect terms and solve for y' (=dy/dx).

  2. MATTW20
    • 3 years ago
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    where did you get the 1 from?

  3. ZeHanz
    • 3 years ago
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    It's the derivative of x

  4. MATTW20
    • 3 years ago
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    oh wow thank you should've known that one

  5. ZeHanz
    • 3 years ago
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    yw!

  6. MATTW20
    • 3 years ago
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    so worried about the e^y i forgot about x lol

  7. ZeHanz
    • 3 years ago
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    It's only a small error you won't be making next time...

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