de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=cos(x)sin(x)

Lösung

ableitung von

y = cos (x) sin (x)

Lösung

cos (2 x)

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = cos (x), g = sin (x)

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

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

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

= (- sin (x)) sin (x) + cos (x) cos (x)

Vereinfache

(- sin (x)) sin (x) + cos (x) cos (x) : cos (2 x)

= cos (2 x)

Graph

Beliebte Beispiele

integral of 2/(x^2-3x+2)

\int \frac{2}{x ^{2} - 3 x + 2} d x

(\partial)/(\partial x)(cos(x+8y))

\frac{\partial}{\partial x} (cos (x + 8 y))

integral from 0 to ln(2) of (e^{3x})/(1+e^{6x)}

\int_{0}^{l n (2)} \frac{e ^{3 x}}{1 + e ^{6 x}} d x

x*(dy)/(dx)+2y=3

x \cdot \frac{d y}{d x} + 2 y = 3

derivative of 5-|x-5|

\frac{d}{d x} (5 - ∣ x - 5 ∣)