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Beliebt Rechnen >

(\partial)/(\partial x)(8x^2+y^2-7y)

Lösung

\frac{\partial}{\partial x} (8 x^{2} + y^{2} - 7 y)

Lösung

16 x

Schritte zur Lösung

\frac{\partial}{\partial x} (8 x^{2} + y^{2} - 7 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (8 x^{2}) + \frac{\partial}{\partial x} (y^{2}) - \frac{\partial}{\partial x} (7 y)

\frac{\partial}{\partial x} (8 x^{2}) = 16 x

\frac{\partial}{\partial x} (y^{2}) = 0

\frac{\partial}{\partial x} (7 y) = 0

= 16 x + 0 - 0

Vereinfache

= 16 x

Beliebte Beispiele

d/(dy)(4x^2y^3+2)

\frac{d}{d y} (4 x^{2} y^{3} + 2)

integral of (x^2)/((8-x^3)^2)

\int \frac{x ^{2}}{( 8 - x ^{3} ) ^{2}} d x

derivative 7sqrt(2)t

d er i v a t i v e 72 t

limit as x approaches 0 of-x+3

x \to 0 lim (- x + 3)

derivative (3x-y)/(-x+y)

d er i v a t i v e \frac{3 x - y}{- x + y}