d/(d{x)}({y}{z}e^{{x}{z}})

解答

\frac{d}{d x} (y z e^{x z})

e^{x z} y z^{2}

求解步骤

\frac{d}{d x} (y z e^{x z})

将常数提出:

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

= y z \frac{d}{d x} (e^{x z})

使用连锁律:

e^{x z} \frac{d}{d x} (x z)

= e^{x z} \frac{d}{d x} (x z)

\frac{d}{d x} (x z) = z

= y z e^{x z} z

化简

y z e^{x z} z : e^{x z} y z^{2}

= e^{x z} y z^{2}

\frac{d}{d x} (arcsin (4 x^{5}))

im pl i c i t \frac{d y}{d x}, 9 sin (x) + cos (y) = sin (x) cos (y)

\int_{0}^{1} x e^{10 x} d x

y^{^{''}} - 4 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 1

d er i v a t i v e f (x) = x^{2} [0.2]