(\partial)/(\partial x)(13.12+0.6215x-11.37y^{0.16}+0.3965xy^{0.16})

解答

\frac{\partial}{\partial x} (13.12 + 0.6215 x - 11.37 y^{0.16} + 0.3965 x y^{0.16})

0.3965 y^{0.16} + 0.6215

求解步骤

\frac{\partial}{\partial x} (13.12 + 0.6215 x - 11.37 y^{0.16} + 0.3965 x y^{0.16})

将

y

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (13.12) + \frac{\partial}{\partial x} (0.6215 x) - \frac{\partial}{\partial x} (11.37 y^{0.16}) + \frac{\partial}{\partial x} (0.3965 x y^{0.16})

\frac{\partial}{\partial x} (13.12) = 0

\frac{\partial}{\partial x} (0.6215 x) = 0.6215

\frac{\partial}{\partial x} (11.37 y^{0.16}) = 0

\frac{\partial}{\partial x} (0.3965 x y^{0.16}) = 0.3965 y^{0.16}

= 0 + 0.6215 - 0 + 0.3965 y^{0.16}

化简

= 0.3965 y^{0.16} + 0.6215

t an g e n t f (x) = sin (x) cos (x)

\int \frac{x}{( x ^{2} + 1 ) ( x ^{2} + 4 x + 4 )} d x

x \to 0 lim (8 x csc (5 x))

11 (t + 1) \frac{d y}{d t} - 8 y = 24 t

y^{^{'}} + e^{x} y = e^{x}