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Beliebt Rechnen >

(d^2)/(dx^2)(xsqrt(1-x^2))

Lösung

\frac{d ^{2}}{d x ^{2}} (x 1 - x^{2})

Lösung

\frac{2 x ^{3} - 3 x}{( 1 - x ^{2} ) 1 - x ^{2}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x 1 - x^{2})

\frac{d}{d x} (x 1 - x^{2}) = \frac{- 2 x ^{2} + 1}{1 - x ^{2}}

= \frac{d}{d x} (\frac{- 2 x ^{2} + 1}{1 - x ^{2}})

\frac{d}{d x} (\frac{- 2 x ^{2} + 1}{1 - x ^{2}}) = \frac{2 x ^{3} - 3 x}{( 1 - x ^{2} ) 1 - x ^{2}}

= \frac{2 x ^{3} - 3 x}{( 1 - x ^{2} ) 1 - x ^{2}}

Beliebte Beispiele

integral from 0 to r of xsqrt(r^2-x^2)

\int_{0}^{r} x r^{2} - x^{2} d x

integral of x/((x^2-4)(x+3))

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

integral of 15^x

\int 1 5^{x} d x

tangent f(x)= 5/(2sqrt(5x+6)),\at x=2

t an g e n t f (x) = \frac{5}{2 5 x + 6}, at x = 2

integral of ze^z

\int z e^{z} d z