erweitern (3x+1)(ln(x))

Lösung

erweitern

(3 x + 1) (ln (x))

3 x ln (x) + ln (x)

Schritte zur Lösung

(3 x + 1) (ln (x))

= (ln (x)) (3 x + 1)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = (ln (x)), b = 3 x, c = 1

= (ln (x)) \cdot 3 x + (ln (x)) \cdot 1

= 3 x (ln (x)) + 1 \cdot (ln (x))

Vereinfache

3 x (ln (x)) + 1 \cdot (ln (x)) : 3 x ln (x) + ln (x)

= 3 x ln (x) + ln (x)

e x p an d sin (x) (csc (x) + cot (x)) - cos (x)

e x p an d 12 (1 - e^{- \frac{t}{2}})

\frac{\partial}{\partial x} ((z) (x + y))

e x p an d \frac{( x ^{2} - 1 ) ^{3}}{4}

e x p an d \frac{- 15 s + 4}{( s ^{2} - 13 s + 26 ) s}