Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Can someone show me how to solve this calculus problem?

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  • Alan
    Lv 7
    1 month ago
    Favourite answer

    Corrected mistake and YA hid it (fix things) 

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  • 1 month ago

    z = x^6ln[1 + xy^(-5/7)]

    dz/dx = ln[1 + xy^(-5/7)] d/dx 6x^5 + x^6 d/dx 1/[1 + xy^(-5/7)] d/dx y^(-5/7)

    ..............................................x^6

    =6x^5ln[1 + xy^(-5/7)] + ------------------------------ answer//

    .........................................y^(5/7)[1 + xy^(-5/7)]

    dz/dy = x^6* 1/(1 + xy^(-5/7)) d/dy -5/7xy^-12/7

    ......-5/7x^7

    =------------------------------ answer//

    ...y^(12/7)(1 + xy^(-5/7)

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