air asked in 科學數學 · 1 decade ago

隱微分implicit Differentiation問題!

1.k=j^3-2/j+cotj find dk/dj,dk/dx,dk/dy=?

2.A=tan(x^2+y) find dA/dx,dA/dy,dA/dt=?

3.d((x^2)y-y/(3x)+2z)/dx)=? d((x^2)y-y/(3x)+2z)/dy)=? d((x^2)y-y/(3x)+2z)/dz)=?

i am confused...

1 Answer

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  • 1 decade ago
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    1.dk/dj=3j^2+2/j^2-(cscj)^2

    dk/dx=0

    dk/dy==0

    2.dA/dx=2[sec(x^2+y)]^2

    dA/dy=[sec(x^2+y)]^2

    dA/dt=0

    3.這一題你題目應該打錯了,括號括錯地方了,我幫你改成正確的。

    d[(x^2)y-y/(3x)+2z]/dx=2xy+y/3x^2

    d[(x^2)y-y/(3x)+2z]/dy=x^2-1/3x

    d[(x^2)y-y/(3x)+2z]/dz=0

    Source(s): 我自己
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