de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of {f}(x(x)^{-1}(x^2))

Lösung

\frac{d}{d x} (f (x) (x)^{- 1} (x^{2}))

Lösung

f (x) + x \frac{d}{d x} (f (x))

Schritte zur Lösung

\frac{d}{d x} (f (x) (x)^{- 1} (x^{2}))

Vereinfache

f (x) (x)^{- 1} (x^{2}) : x f (x)

= \frac{d}{d x} (x f (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = f (x)

= \frac{d x}{d x} f (x) + \frac{d}{d x} (f (x)) x

\frac{d x}{d x} = 1

= 1 \cdot f (x) + \frac{d}{d x} (f (x)) x

Vereinfache

= f (x) + x \frac{d}{d x} (f (x))

Beliebte Beispiele

integral from 0 to 1 of pi(5x^2)^2

\int_{0}^{1} π (5 x^{2})^{2} d x

integral of x-csc(x)cot(x)

\int x - csc (x) cot (x) d x

integral of (sin(7x))

\int (sin (7 x)) d x

derivative of 1/2 ln(2x)

\frac{d}{d x} (\frac{1}{2} ln (2 x))

(dy)/(dt)=(15-(3y)/(360-2t))

\frac{d y}{d t} = (15 - \frac{3 y}{360 - 2 t})