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Beliebt Rechnen >

derivative y=x^4f(x)

Lösung

ableitung von

y = x^{4} f (x)

Lösung

4 x^{3} f (x) + \frac{df}{d x} x^{4}

Schritte zur Lösung

\frac{d}{d x} (x^{4} f (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{4}, g = f (x)

= \frac{d}{d x} (x^{4}) f (x) + \frac{df}{d x} x^{4}

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

= 4 x^{3} f (x) + \frac{df}{d x} x^{4}

Beliebte Beispiele

inverselaplace 6/(2s+1)

in v erse l a pl a ce \frac{6}{2 s + 1}

integral of cot(x)ln(sin(x))

\int cot (x) ln (sin (x)) d x

derivative of (x-2/(x^2+5x+4))

\frac{d}{d x} (\frac{x - 2}{x ^{2} + 5 x + 4})

(dy)/(dx)=-y^{1/3}

\frac{d y}{d x} = - y^{\frac{1}{3}}

limit as x approaches 0 of pi^2

x \to 0 lim (π^{2})