de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative x^3b^5+y^4b+z^6

Lösung

ableitung von

x^{3} b^{5} + y^{4} b + z^{6}

Lösung

3 b^{5} x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{3} b^{5} + y^{4} b + z^{6})

Behandle

b, y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3} b^{5}) + \frac{d}{d x} (y^{4} b) + \frac{d}{d x} (z^{6})

\frac{d}{d x} (x^{3} b^{5}) = 3 b^{5} x^{2}

\frac{d}{d x} (y^{4} b) = 0

\frac{d}{d x} (z^{6}) = 0

= 3 b^{5} x^{2} + 0 + 0

Vereinfache

= 3 b^{5} x^{2}

Graph

Beliebte Beispiele

integral from 0 to 10 of 100e^{0.1x}

\int_{0}^{10} 100 e^{0.1 x} d x

y^{''}-2y^'-3y=-3xe^{-x}

y^{^{''}} - 2 y^{^{'}} - 3 y = - 3 x e^{- x}

limit as x approaches 0 of x^3cos(1/x)

x \to 0 lim (x^{3} cos (\frac{1}{x}))

tangent-5x^{1/2}+x^{3/2}

t an g e n t - 5 x^{\frac{1}{2}} + x^{\frac{3}{2}}

derivative f(x)=xx

d er i v a t i v e f (x) = xx