de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 2^{cos(x})

Lösung

\frac{d}{d x} (2^{c o s (x)})

Lösung

- ln (2) \cdot 2^{c o s (x)} sin (x)

Schritte zur Lösung

\frac{d}{d x} (2^{c o s (x)})

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

2^{c o s (x)} = e^{c o s (x) l n (2)}

= \frac{d}{d x} (e^{c o s (x) l n (2)})

Wende die Kettenregel an:

e^{c o s (x) l n (2)} \frac{d}{d x} (cos (x) ln (2))

= e^{c o s (x) l n (2)} \frac{d}{d x} (cos (x) ln (2))

\frac{d}{d x} (cos (x) ln (2)) = - ln (2) sin (x)

= e^{c o s (x) l n (2)} (- ln (2) sin (x))

Vereinfache

e^{c o s (x) l n (2)} (- ln (2) sin (x)) : - ln (2) \cdot 2^{c o s (x)} sin (x)

= - ln (2) \cdot 2^{c o s (x)} sin (x)

Graph

Beliebte Beispiele

sum from n=0 to infinity of 2^{3-2n}

n = 0 \sum \infty 2^{3 - 2 n}

integral of x/((1+2x)^2)

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

(\partial)/(\partial t)(2s^2t^2)

\frac{\partial}{\partial t} (2 s^{2} t^{2})

integral of x^2sqrt(8+x)

\int x^{2} 8 + x d x

integral of 7/(9+4x^2)

\int \frac{7}{9 + 4 x ^{2}} d x