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Beliebt Rechnen >

derivative y=(ax+b)^6

Lösung

ableitung von

y = (a x + b)^{6}

Lösung

6 (a x + b)^{5} a

Schritte zur Lösung

\frac{d}{d x} ((a x + b)^{6})

Wende die Kettenregel an:

6 (a x + b)^{5} \frac{d}{d x} (a x + b)

= 6 (a x + b)^{5} \frac{d}{d x} (a x + b)

\frac{d}{d x} (a x + b) = a

= 6 (a x + b)^{5} a

Beliebte Beispiele

integral of 1/(x^2+16)

\int \frac{1}{x ^{2} + 16} d x

limit as z approaches-i of (im(z))/z

z \to - i lim (\frac{im ( z )}{z})

derivative of 2/3 e^x

\frac{d}{d x} (\frac{2}{3} e^{x})

limit as h approaches 0 of (((x+h)-x))/h

h \to 0 lim (\frac{( ( x + h ) - x )}{h})

integral of (x^3)/(x^4)

\int \frac{x ^{3}}{x ^{4}} d x