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Beliebt Rechnen >

derivative of (1+x^3Y^2Z^2)

Lösung

\frac{d}{d x} ((1 + x^{3} Y^{2} Z)^{2})

Lösung

6 x^{2} Y^{2} Z (1 + x^{3} Y^{2} Z)

Schritte zur Lösung

\frac{d}{d x} ((1 + x^{3} Y^{2} Z)^{2})

Behandle

Y, Z

als Konstanten

Wende die Kettenregel an:

2 (1 + x^{3} Y^{2} Z) \frac{d}{d x} (1 + x^{3} Y^{2} Z)

= 2 (1 + x^{3} Y^{2} Z) \frac{d}{d x} (1 + x^{3} Y^{2} Z)

\frac{d}{d x} (1 + x^{3} Y^{2} Z) = 3 Y^{2} Z x^{2}

= 2 (1 + x^{3} Y^{2} Z) \cdot 3 Y^{2} Z x^{2}

Vereinfache

= 6 x^{2} Y^{2} Z (1 + x^{3} Y^{2} Z)

Graph

Beliebte Beispiele

derivative of 4^xln(4)

(\partial)/(\partial x)(ln(x^4+y^2))

y^'=7x+y,y(0)=8

fläche y=x^3,y=3x+2