(d^2)/(dx^2)(xy)

Lösung

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

2 \frac{d y}{d x} + x \frac{d ^{2} y}{d x ^{2}}

Schritte zur Lösung

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

\frac{d}{d x} (x y) = y + x \frac{d y}{d x}

= \frac{d}{d x} (y + x \frac{d y}{d x})

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

= 2 \frac{d y}{d x} + x \frac{d ^{2} y}{d x ^{2}}

\int_{0}^{l n (4)} e^{x} - e^{- 3 x} d x

x \to + 0 lim (\frac{tan ( x ) - x}{x})

\int_{- 2}^{2} (x + 3) 4 - x^{2} d x

d er i v a t i v e f (x) = 2 e^{x^{3}} + 1

\frac{d}{d x} (x + 5 e^{x})