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Beliebt Rechnen >

(d^3)/(dx^3)(x^4-10x^3)

Lösung

\frac{d ^{3}}{d x ^{3}} (x^{4} - 10 x^{3})

Lösung

24 x - 60

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (x^{4} - 10 x^{3})

\frac{d}{d x} (x^{4} - 10 x^{3}) = 4 x^{3} - 30 x^{2}

= \frac{d ^{2}}{d x ^{2}} (4 x^{3} - 30 x^{2})

\frac{d}{d x} (4 x^{3} - 30 x^{2}) = 12 x^{2} - 60 x

= \frac{d}{d x} (12 x^{2} - 60 x)

\frac{d}{d x} (12 x^{2} - 60 x) = 24 x - 60

= 24 x - 60

Beliebte Beispiele

(\partial)/(\partial x)(1/(y+z))

\frac{\partial}{\partial x} (\frac{1}{y + z})

derivative f(x)= 5/(x^5)

d er i v a t i v e f (x) = \frac{5}{x ^{5}}

y^{''}+2y^'+y=e^{-t}+9e^{5t}

y^{^{''}} + 2 y^{^{'}} + y = e^{- t} + 9 e^{5 t}

limit as n approaches infinity of i/n

n \to \infty lim (\frac{i}{n})

taylor (1+z)^{1/4}

t a y l or (1 + z)^{\frac{1}{4}}