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Beliebt Rechnen >

implicit (dy)/(dx),xy=56

Lösung

implizite ableitung

\frac{d y}{d x}, x y = 56

Lösung

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

Schritte zur Lösung

x y = 56

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

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

Isoliere

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

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

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(\partial)/(\partial x)(sin(pi(x-4y)))

\frac{\partial}{\partial x} (sin (π (x - 4 y)))

integral of (6x^2-4x+3)

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(\partial)/(\partial x)(ln(x^{10}y))

\frac{\partial}{\partial x} (ln (x^{10} y))

derivative f(x)=x^2-2x+2

d er i v a t i v e f (x) = x^{2} - 2 x + 2

derivative (sqrt(1-x))/2

d er i v a t i v e \frac{1 - x}{2}