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Beliebt Rechnen >

derivative of 3e^x-0.4y

Lösung

\frac{d}{d x} (3 e^{x} - 0.4 y)

Lösung

3 e^{x} - 0.4 \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (3 e^{x} - 0.4 y)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 e^{x}) - \frac{d}{d x} (0.4 y)

\frac{d}{d x} (3 e^{x}) = 3 e^{x}

\frac{d}{d x} (0.4 y) = 0.4 \frac{d y}{d x}

= 3 e^{x} - 0.4 \frac{d y}{d x}

Beliebte Beispiele

derivative (log_{10}(x))/(x^2)

d er i v a t i v e \frac{lo g _{10} ( x )}{x ^{2}}

derivative 3+4x^2

d er i v a t i v e 3 + 4 x^{2}

d/(dt)(asin(t)+1)

\frac{d}{d t} (a sin (t) + 1)

derivative 3cos^{-3}(x)

d er i v a t i v e 3 cos^{- 3} (x)

derivative (5x^9+7x^2-65)^{-9}

d er i v a t i v e (5 x^{9} + 7 x^{2} - 65)^{- 9}