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Beliebt Rechnen >

(\partial)/(\partial x)(x^{2+2y^2+3z^2})

Lösung

\frac{\partial}{\partial x} (x^{2 + 2 y^{2} + 3 z^{2}})

Lösung

x^{2 y^{2} + 3 z^{2} + 1} (2 + 2 y^{2} + 3 z^{2})

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2 + 2 y^{2} + 3 z^{2}})

Behandle

y, z

als Konstanten

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= (2 + 2 y^{2} + 3 z^{2}) x^{2 + 2 y^{2} + 3 z^{2} - 1}

Vereinfache

= x^{2 y^{2} + 3 z^{2} + 1} (2 + 2 y^{2} + 3 z^{2})

Beliebte Beispiele

integral of (x+4)/(x^3+x^2-2)

\int \frac{x + 4}{x ^{3} + x ^{2} - 2} d x

d/(d{y)}({x}^{{y}^{{z}}})

\frac{d}{d y} (x^{y^{z}})

derivative f(x)= 5/(1-9x)

d er i v a t i v e f (x) = \frac{5}{1 - 9 x}

derivative f(x)=6e^x+4x^2

d er i v a t i v e f (x) = 6 e^{x} + 4 x^{2}

(\partial)/(\partial y)(cos(12x)sin(3y))

\frac{\partial}{\partial y} (cos (12 x) sin (3 y))