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Beliebt Rechnen >

derivative x^8(x-3)^7

Lösung

ableitung von

x^{8} (x - 3)^{7}

Lösung

8 x^{7} (x - 3)^{7} + 7 (x - 3)^{6} x^{8}

Schritte zur Lösung

\frac{d}{d x} (x^{8} (x - 3)^{7})

Wende die Produktregel an:

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

f = x^{8}, g = (x - 3)^{7}

= \frac{d}{d x} (x^{8}) (x - 3)^{7} + \frac{d}{d x} ((x - 3)^{7}) x^{8}

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} ((x - 3)^{7}) = 7 (x - 3)^{6}

= 8 x^{7} (x - 3)^{7} + 7 (x - 3)^{6} x^{8}

Graph

Beliebte Beispiele

sum from n=0 to infinity of 5/(4^{n+1)}

n = 0 \sum \infty \frac{5}{4 ^{n + 1}}

limit as x approaches o of (sin(4x))/x

x \to o lim (\frac{sin ( 4 x )}{x})

f^'(x)= 1/(sqrt(x))

f^{^{'}} (x) = \frac{1}{x}

f(x)=sqrt(1+3x)

f (x) = 1 + 3 x

y^{''}-9y=e^{-t}+1

y^{^{''}} - 9 y = e^{- t} + 1