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Beliebt Rechnen >

(\partial)/(\partial x)(4x^4y^5-3x^2)

Lösung

\frac{\partial}{\partial x} (4 x^{4} y^{5} - 3 x^{2})

Lösung

16 y^{5} x^{3} - 6 x

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x^{4} y^{5} - 3 x^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x^{4} y^{5}) - \frac{\partial}{\partial x} (3 x^{2})

\frac{\partial}{\partial x} (4 x^{4} y^{5}) = 16 y^{5} x^{3}

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

= 16 y^{5} x^{3} - 6 x

Beliebte Beispiele

(\partial)/(\partial x)(x-y^2+3xy)

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

integral of (1/(x^2+9))

\int (\frac{1}{x ^{2} + 9}) d x

derivative y=((x-5))/(x^3)

d er i v a t i v e y = \frac{( x - 5 )}{x ^{3}}

derivative of 1/(2x+2)

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

steigung (-3.3)(5.9)

s l o p e (- 3.3) (5.9)