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Beliebt Rechnen >

derivative of 2x-5y+3

Lösung

\frac{d}{d x} (2 x - 5 y + 3)

Lösung

- 5 \frac{d y}{d x} + 2

Schritte zur Lösung

\frac{d}{d x} (2 x - 5 y + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (5 y) + \frac{d}{d x} (3)

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (5 y) = 5 \frac{d y}{d x}

\frac{d}{d x} (3) = 0

= 2 - 5 \frac{d y}{d x} + 0

Vereinfache

= - 5 \frac{d y}{d x} + 2

Beliebte Beispiele

(dy)/(dx)=e^{6x+5y}

\frac{d y}{d x} = e^{6 x + 5 y}

derivative of (x^5/(1-x^4))

\frac{d}{d x} (\frac{x ^{5}}{1 - x ^{4}})

derivative of (x^2+2^3)

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

integral of 1/((3-4x))

\int \frac{1}{( 3 - 4 x )} d x

integral of 10x^4+20x+8

\int 10 x^{4} + 20 x + 8 d x