simplify e^{-t}*ln(t)

الحلّ

simplify

e^{- t} \cdot ln (t)

\frac{ln ( t )}{e ^{t}}

خطوات الحلّ

e^{- t} ln (t)

a^{- b} = \frac{1}{a ^{b}}

:فعّل قانون القوى

= \frac{1}{e ^{t}} ln (t)

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

:اضرب كسور

= \frac{1 \cdot ln ( t )}{e ^{t}}

1 \cdot ln (t) = ln (t) :

اضرب

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

\frac{1}{2} (6 \cdot 1 0^{- 3}) (1 \cdot 1 0^{- 3})^{2}

(e^{- 4})^{- 5}

\frac{2 x}{3} \cdot \frac{3}{2}

x x^{3}