de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (e^x^{sin(x)})

Lösung

\frac{d}{d x} ((e^{x})^{s i n (x)})

Lösung

e^{x s i n (x)} (sin (x) + x cos (x))

Schritte zur Lösung

\frac{d}{d x} ((e^{x})^{s i n (x)})

Vereinfache

(e^{x})^{s i n (x)} : e^{x s i n (x)}

= \frac{d}{d x} (e^{x s i n (x)})

Wende die Kettenregel an:

e^{x s i n (x)} \frac{d}{d x} (x sin (x))

= e^{x s i n (x)} \frac{d}{d x} (x sin (x))

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

= e^{x s i n (x)} (sin (x) + x cos (x))

Graph

Beliebte Beispiele

tangent y=x^3-7x^2+16x+7

t an g e n t y = x^{3} - 7 x^{2} + 16 x + 7

steigung (0,-2),(5,-4)

s l o p e (0, - 2), (5, - 4)

integral from 0 to 3 of 2e^{-3x}

\int_{0}^{3} 2 e^{- 3 x} d x

integral of x^3sin(x^2)

\int x^{3} sin (x^{2}) d x

(\partial)/(\partial x)(cos^9(x^4y^8))

\frac{\partial}{\partial x} (cos^{9} (x^{4} y^{8}))