q0500771493 發問時間: 科學數學 · 4 年前

數學 For implicit function 2xy+ex+y -2=0 dy/dx (0,ln2)=?

題目如圖

A 0

B 1 - ln2

C 1 + ln2

D -1 - ln2

Attachment image

1 個解答

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  • 最佳解答

    Question:

    For implicit function 2xy + eˣ⁺ʸ - 2 = 0, dy/dx|₍₀,𝑙𝑛₂₎ = ?

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    Sum Rule:

    d( f(x) + g(x) )/dx = d( f(x) )/dx + d( g(x) )/dx

    Product Rule:

    d( f(x) g(x) )/dx = g(x) d( f(x) )/dx + f(x) d( g(x) )/dx

    Chain Rule:

    d( f(g(x)) )/dx = [ d( f(g(x)) )/d( g(x) ) ] [ d( g(x) )/dx ]

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    Solution:

    https://s18.postimg.io/soeolt5kp/image.png

    D. -1 - ln2

    Attachment image
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