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Beliebt Rechnen >

(\partial)/(\partial x)(42x^5y^6-30x^4y^5)

Lösung

\frac{\partial}{\partial x} (42 x^{5} y^{6} - 30 x^{4} y^{5})

Lösung

210 y^{6} x^{4} - 120 y^{5} x^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (42 x^{5} y^{6} - 30 x^{4} y^{5})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (42 x^{5} y^{6}) - \frac{\partial}{\partial x} (30 x^{4} y^{5})

\frac{\partial}{\partial x} (42 x^{5} y^{6}) = 210 y^{6} x^{4}

\frac{\partial}{\partial x} (30 x^{4} y^{5}) = 120 y^{5} x^{3}

= 210 y^{6} x^{4} - 120 y^{5} x^{3}

Beliebte Beispiele

x^2y^{''}-5xy^'-7y=0

x^{2} y^{^{''}} - 5 x y^{^{'}} - 7 y = 0

derivative f(x)=e^{-6x}

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

integral of e^{1.2x}

\int e^{1.2 x} d x

derivative 4-sqrt(x+16)

d er i v a t i v e 4 - x + 16

derivative 5pi^6

d er i v a t i v e 5 π^{6}