implicit (dy)/(dx),y=x^{15/16}

解答

隐函数求导

\frac{d y}{d x}, y = x^{\frac{15}{16}}

\frac{d y}{d x} = \frac{15}{16 x ^{\frac{1}{16}}}

求解步骤

y = x^{\frac{15}{16}}

将

y

视为

y (x)

对两侧微分:

\frac{d y}{d x} = \frac{15}{16 x ^{\frac{1}{16}}}

整理

\frac{d y}{d x} : \frac{d y}{d x} = \frac{15}{16 x ^{\frac{1}{16}}}

\frac{d y}{d x} = \frac{15}{16 x ^{\frac{1}{16}}}

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