(\partial)/(\partial x)(x^2ycos(z/t))

解答

\frac{\partial}{\partial x} (x^{2} y cos (\frac{z}{t}))

2 x y cos (\frac{z}{t})

求解步骤

\frac{\partial}{\partial x} (x^{2} y cos (\frac{z}{t}))

将

y, z, t

视为常数

将常数提出:

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

= y cos (\frac{z}{t}) \frac{\partial}{\partial x} (x^{2})

使用幂法则:

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

= y cos (\frac{z}{t}) \cdot 2 x^{2 - 1}

化简

= 2 x y cos (\frac{z}{t})

\frac{\partial}{\partial x} (\frac{- 3 x - y}{y ^{2} + 2 x ^{2}})

\frac{\partial}{\partial x} (e^{2^{x}})

y^{^{'}} = 20 x - 2

\frac{d}{d x} (2 x + e^{x} + e^{- x})

d er i v a t i v e F (x) = sin (7 x) + cos (4 x)