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Beliebt Rechnen >

derivative f(x)=500-y-(4y)/(y+3)

Lösung

ableitung von

f (x) = 500 - y - \frac{4 y}{y + 3}

Lösung

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

Schritte zur Lösung

f (x) = 500 - y - \frac{4 y}{y + 3}

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

0 = \frac{- y ^{2} \frac{d y}{d x} - 6 y \frac{d y}{d x} - 21 \frac{d y}{d x}}{( y + 3 ) ^{2}}

Isoliere

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

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

Beliebte Beispiele

integral of 1/(sqrt(4x^2+5))

\int \frac{1}{4 x ^{2} + 5} d x

limit as x approaches 0 of cos(pi)x

x \to 0 lim (cos (π) x)

integral of 3x^{-2/3}

\int 3 x^{- \frac{2}{3}} d x

integral of e^{2x}(sin(3x))

\int e^{2 x} (sin (3 x)) d x

derivative f(x)=e^x-x^8

d er i v a t i v e f (x) = e^{x} - x^{8}