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Beliebt Rechnen >

derivative (x+y)^2-4x+y+10

Lösung

ableitung von

(x + y)^{2} - 4 x + y + 10

Lösung

2 (x + y) - 4

Schritte zur Lösung

\frac{d}{d x} ((x + y)^{2} - 4 x + y + 10)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} ((x + y)^{2}) - \frac{d}{d x} (4 x) + \frac{d y}{d x} + \frac{d}{d x} (10)

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

\frac{d}{d x} (4 x) = 4

\frac{d y}{d x} = 0

\frac{d}{d x} (10) = 0

= 2 (x + y) - 4 + 0 + 0

Vereinfache

= 2 (x + y) - 4

Beliebte Beispiele

integral from 0 to pi of 2cos^2(pi/2)

\int_{0}^{π} 2 cos^{2} (\frac{π}{2}) d x

integral of 2/7 x^2+1

\int \frac{2}{7} x^{2} + 1 d x

tangent f(x)=3x^2,(-1,3)

t an g e n t f (x) = 3 x^{2}, (- 1, 3)

laplacetransform g(t)=sqrt(t)

l a pl a ce t r an s f or m g (t) = t

derivative of (x^2+2x+2^{sin(x)})

\frac{d}{d x} ((x^{2} + 2 x + 2)^{s i n (x)})