de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 50e^{4x}+300e^{-3x}

Lösung

\frac{d}{d x} (50 e^{4 x} + 300 e^{- 3 x})

Lösung

200 e^{4 x} - 900 e^{- 3 x}

Schritte zur Lösung

\frac{d}{d x} (50 e^{4 x} + 300 e^{- 3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (50 e^{4 x}) + \frac{d}{d x} (300 e^{- 3 x})

\frac{d}{d x} (50 e^{4 x}) = 200 e^{4 x}

\frac{d}{d x} (300 e^{- 3 x}) = - 900 e^{- 3 x}

= 200 e^{4 x} - 900 e^{- 3 x}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^2e^y)

\frac{\partial}{\partial x} (x^{2} e^{y})

derivative e^{4tsin(2t)}

d er i v a t i v e e^{4 t s i n (2 t)}

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

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

integral of (3x^2+cos(x))

\int (3 x^{2} + cos (x)) d x

derivative of e^{3xsin(2x})

\frac{d}{d x} (e^{3 x s i n (2 x)})