de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of x^8cos(x)

Lösung

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

Lösung

8 x^{7} cos (x) - x^{8} sin (x)

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

= 8 x^{7} cos (x) + (- sin (x)) x^{8}

Vereinfache

= 8 x^{7} cos (x) - x^{8} sin (x)

Graph

Beliebte Beispiele

(\partial)/(\partial y)(y^4+5xy^3)

\frac{\partial}{\partial y} (y^{4} + 5 x y^{3})

integral of (9x^2)/(sqrt(1-x^3))

\int \frac{9 x ^{2}}{1 - x ^{3}} d x

fläche y=x^2-1,y=0,[0,3]

a re a y = x^{2} - 1, y = 0, [0, 3]

derivative f(x)= 1/4 x-1/6

d er i v a t i v e f (x) = \frac{1}{4} x - \frac{1}{6}

t y^{^{'}} + 9 y = 3 t