(\partial)/(\partial x)(x^{1/8}*y^{11/9})

해법

\frac{\partial}{\partial x} (x^{\frac{1}{8}} \cdot y^{\frac{11}{9}})

\frac{y ^{\frac{11}{9}}}{8 x ^{\frac{7}{8}}}

솔루션 단계

\frac{\partial}{\partial x} (x^{\frac{1}{8}} y^{\frac{11}{9}})

y

을 상수로 처리합니다

정수를 빼라:

(a \cdot f)^{'} = a \cdot f^{'}

= y^{\frac{11}{9}} \frac{\partial}{\partial x} (x^{\frac{1}{8}})

전원 규칙을 적용합니다:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= y^{\frac{11}{9}} \frac{1}{8} x^{\frac{1}{8} - 1}

y^{\frac{11}{9}} \frac{1}{8} x^{\frac{1}{8} - 1}

간소화하다 :

\frac{y ^{\frac{11}{9}}}{8 x ^{\frac{7}{8}}}

= \frac{y ^{\frac{11}{9}}}{8 x ^{\frac{7}{8}}}