What is the first d/(dt)((x)(e^t)) ?

The first d/(dt)((x)(e^t)) is xe^t

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d/(dt)((x)(e^t))

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

x e^{t}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{d}{d t} (e^{t}) = e^{t}

= x e^{t}

ln (4 - 4 x^{2} - 4 y^{2})

6 ab - b^{2} + 12 a c - 2 b c

x + y + x z + yz + x z^{2} + y z^{2}

x + x y + x y^{2} - 1 - y - y

x^{- 4 a - 6}