de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sin(7x+sin^2(7x))

Lösung

\frac{d}{d x} (sin (7 x) + sin^{2} (7 x))

Lösung

cos (7 x) \cdot 7 + 14 sin (7 x) cos (7 x)

Schritte zur Lösung

\frac{d}{d x} (sin (7 x) + sin^{2} (7 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (7 x)) + \frac{d}{d x} (sin^{2} (7 x))

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

\frac{d}{d x} (sin^{2} (7 x)) = 14 sin (7 x) cos (7 x)

= cos (7 x) \cdot 7 + 14 sin (7 x) cos (7 x)

Graph

Beliebte Beispiele

sum from n=1 to infinity of 1/(n^2+2n+2)

n = 1 \sum \infty \frac{1}{n ^{2} + 2 n + 2}

tangent f(x)=5x^3-2x,\at x=-1

t an g e n t f (x) = 5 x^{3} - 2 x, at x = - 1

derivative of 9\sqrt[3]{x}

\frac{d}{d x} (9 3 x)

integral of x*ac*e^{-acx+abc-1}

\int x \cdot a c \cdot e^{- a c x + ab c - 1} d x

derivative of 4x^4ln(x)

\frac{d}{d x} (4 x^{4} ln (x))