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Beliebt Rechnen >

derivative of a{r}(xc,x)

Lösung

\frac{d}{d x} (a r (x) c, x)

Lösung

(a c, (\frac{d}{d x} (r (x)) x + 1 \cdot r (x)))

Schritte zur Lösung

\frac{d}{d x} (a r (x) c, x)

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= (a c, \frac{d}{d x} (r (x) x))

Wende die Produktregel an:

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

f = r (x), g = x

= (a c, (\frac{d}{d x} (r (x)) x + \frac{d x}{d x} r (x)))

\frac{d x}{d x} = 1

= (a c, (\frac{d}{d x} (r (x)) x + 1 \cdot r (x)))

Beliebte Beispiele

y^{^{''}} - 8 y + 16 = 0

integral from-1 to 2 of x^3-2x

\int_{- 1}^{2} x^{3} - 2 x d x

integral of ln(3x+8)

\int ln (3 x + 8) d x

derivative of 1/(11x^{10/11})

\frac{d}{d x} (\frac{1}{11 x ^{\frac{10}{11}}})

integral of (x^2+3)e^x

\int (x^{2} + 3) e^{x} d x