(d^2)/(dx^2)((y)(3^x))

Lösung

\frac{d ^{2}}{d x ^{2}} ((y) (3^{x}))

ln^{2} (3) \cdot 3^{x} y + 2 ln (3) \cdot 3^{x} \frac{d y}{d x} + 3^{x} \frac{d ^{2} y}{d x ^{2}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} ((y) (3^{x}))

\frac{d}{d x} (y \cdot 3^{x}) = \frac{d y}{d x} 3^{x} + 3^{x} ln (3) y

= \frac{d}{d x} (\frac{d y}{d x} 3^{x} + 3^{x} ln (3) y)

\frac{d}{d x} (\frac{d y}{d x} 3^{x} + 3^{x} ln (3) y) = ln^{2} (3) \cdot 3^{x} y + 2 ln (3) \cdot 3^{x} \frac{d y}{d x} + 3^{x} \frac{d ^{2} y}{d x ^{2}}

= ln^{2} (3) \cdot 3^{x} y + 2 ln (3) \cdot 3^{x} \frac{d y}{d x} + 3^{x} \frac{d ^{2} y}{d x ^{2}}

f a c t or 5 x y + yz - 15 x - 3 z

s im pl i f y - 2 k t + s^{{3}}

s im pl i f y (\frac{3}{2})!

f a c t or (x + Δ x)^{2}

f a c t or (x + h) - 2