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Beliebt Rechnen >

(d^2)/(dx^2)(3x^2-5y^2)

Lösung

\frac{d ^{2}}{d x ^{2}} (3 x^{2} - 5 y^{2})

Lösung

6 - 10 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (3 x^{2} - 5 y^{2})

\frac{d}{d x} (3 x^{2} - 5 y^{2}) = 6 x - 10 y \frac{d y}{d x}

= \frac{d}{d x} (6 x - 10 y \frac{d y}{d x})

\frac{d}{d x} (6 x - 10 y \frac{d y}{d x}) = 6 - 10 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

= 6 - 10 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

Beliebte Beispiele

derivative of 1+6sqrt(x)

\frac{d}{d x} (1 + 6 x)

d er i v a t i v e x - 2

derivative of (sqrt(x)/(x+y))

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

derivative 2/(ln(x))

d er i v a t i v e \frac{2}{ln ( x )}

limit as x approaches 2 of (x^2+2)/(x-2)

x \to 2 lim (\frac{x ^{2} + 2}{x - 2})