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1 parent aa7e2f1 commit 3ec67beCopy full SHA for 3ec67be
chp09/subsections/9.5.html
@@ -676,6 +676,12 @@ <h6>隐函数求导公式(一个方程)</h6>
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$$\frac{\mathrm{d}y}{\mathrm{d}x} = -\frac{F_x}{F_y}$$
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</div>
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<p>前提条件:$F_y \neq 0$</p>
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+ <p>对于三元函数 $F(x,y,z) = 0$</p>
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+ <div class="math-expression">
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+ $$\frac{\partial{z}}{\partial{x}} = -\frac{F_x}{F_z}$$
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+ $$\frac{\partial{z}}{\partial{y}} = -\frac{F_y}{F_z}$$
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+ </div>
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+ <p>前提条件:$F_z \neq 0$</p>
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<div class="theorem-box">
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