derivative of ({f}(x)(x^8))

Lösung

\frac{d}{d x} ((f (x)) (x^{8}))

\frac{d}{d x} (f (x)) x^{8} + 8 x^{7} f (x)

Schritte zur Lösung

\frac{d}{d x} ((f (x)) (x^{8}))

Wende die Produktregel an:

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

f = f (x), g = x^{8}

= \frac{d}{d x} (f (x)) x^{8} + \frac{d}{d x} (x^{8}) f (x)

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

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

f a c t or amnb + nbma - bnma - mbna

f a c t or 216 m^{3} - n^{21} p^{9}

f a c t or - (x cos (x))

f a c t or 121 + 198 \times 6 + 81 \times 12

f a c t or 3 e^{4} - 1