derivative of x^6sin(x)

Lösung

\frac{d}{d x} (x^{6} sin (x))

6 x^{5} sin (x) + cos (x) x^{6}

Schritte zur Lösung

\frac{d}{d x} (x^{6} sin (x))

Wende die Produktregel an:

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

f = x^{6}, g = sin (x)

= \frac{d}{d x} (x^{6}) sin (x) + \frac{d}{d x} (sin (x)) x^{6}

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

\frac{d}{d x} (sin (x)) = cos (x)

= 6 x^{5} sin (x) + cos (x) x^{6}

n = 0 \sum \infty \frac{1}{10 1 ^{n}}

a re a \frac{x}{4}, 25, 0, 12

\frac{d}{d x} (x^{2} - 4 x + 3)

in v erse l a pl a ce e^{- 4 s}

\frac{\partial}{\partial z} (- 9 cos (3 x + yz) z)