Solve S=U*I - Socratic AI (ScanMath)

简化

S = U I

通过将变量 I 视为常数并相对于 U 微分来求一阶偏导数

\frac{\partial S}{\partial U} = \frac{\partial}{\partial U} (U I)

使用微分规则 \frac{\partial}{\partial x} (c f (x)) = c \times \frac{\partial}{\partial x} (f (x))

\frac{\partial S}{\partial U} = I \times \frac{\partial}{\partial U} (U)

使用 \frac{\partial}{\partial x} x^{n} = n x^{n - 1} 求导数

\frac{\partial S}{\partial U} = I \times 1

解题方案

\frac{\partial S}{\partial U} = I

S=u*i