de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=-12x^{3/2}+7x^{1.7}+x

Lösung

ableitung von

f (x) = - 12 x^{\frac{3}{2}} + 7 x^{1.7} + x

Lösung

- 18 x^{\frac{1}{2}} + 11.9 x^{0.7} + 1

Schritte zur Lösung

\frac{d}{d x} (- 12 x^{\frac{3}{2}} + 7 x^{1.7} + x)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (12 x^{\frac{3}{2}}) + \frac{d}{d x} (7 x^{1.7}) + \frac{d x}{d x}

\frac{d}{d x} (12 x^{\frac{3}{2}}) = 18 x^{\frac{1}{2}}

\frac{d}{d x} (7 x^{1.7}) = 11.9 x^{0.7}

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

= - 18 x^{\frac{1}{2}} + 11.9 x^{0.7} + 1

Graph

Beliebte Beispiele

integral of (t^3)/(t^4+1)

\int \frac{t ^{3}}{t ^{4} + 1} d t

integral of 2/(cos(x)-1)

\int \frac{2}{cos ( x ) - 1} d x

derivative of log_{2}(2x+1)

\frac{d}{d x} (lo g_{2} (2 x + 1))

fläche x^2+2,x+2

a re a x^{2} + 2, x + 2

derivative 6e^{-3x}

d er i v a t i v e 6 e^{- 3 x}