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Beliebt Rechnen >

(\partial)/(\partial y)(y-e^t)

Lösung

\frac{\partial}{\partial y} (y - e^{t})

Lösung

1

Schritte zur Lösung

\frac{\partial}{\partial y} (y - e^{t})

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (y) - \frac{\partial}{\partial y} (e^{t})

\frac{\partial}{\partial y} (y) = 1

\frac{\partial}{\partial y} (e^{t}) = 0

= 1 - 0

Vereinfache

= 1

Beliebte Beispiele

csc(y)dx+sec(2x)dy=0

csc (y) d x + sec (2 x) d y = 0

(\partial)/(\partial x)(cos(pi)x)

\frac{\partial}{\partial x} (cos (π) x)

(d^2)/(dx^2)((x^2)/(1+2x))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{1 + 2 x})

integral from 1/2 to 2 of (1-1/(x^2))

\int_{\frac{1}{2}}^{2} (1 - \frac{1}{x ^{2}}) d x

(dy)/(dx)=y+x^2

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