de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative F(x)=sin(7x)+cos(4x)

Lösung

ableitung von

F (x) = sin (7 x) + cos (4 x)

Lösung

cos (7 x) \cdot 7 - sin (4 x) \cdot 4

Schritte zur Lösung

\frac{d}{d x} (sin (7 x) + cos (4 x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (7 x)) + \frac{d}{d x} (cos (4 x))

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

= cos (7 x) \cdot 7 - sin (4 x) \cdot 4

Graph

Beliebte Beispiele

derivative of (10x/(x^2+1))

\frac{d}{d x} (\frac{10 x}{x ^{2} + 1})

derivative (3x+8)^2

d er i v a t i v e (3 x + 8)^{2}

integral of cos(7t)

\int cos (7 t) d t

derivative 2x^3-1

d er i v a t i v e 2 x^{3} - 1

tangent y=(1+2x)^{11},(0,1)

t an g e n t y = (1 + 2 x)^{11}, (0, 1)