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# 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 agoFavorite Answer
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

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