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Beliebt Rechnen >

(\partial)/(\partial x)(sin(5x+2y))

Lösung

\frac{\partial}{\partial x} (sin (5 x + 2 y))

Lösung

cos (5 x + 2 y) \cdot 5

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (5 x + 2 y))

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (5 x + 2 y) \frac{\partial}{\partial x} (5 x + 2 y)

= cos (5 x + 2 y) \frac{\partial}{\partial x} (5 x + 2 y)

\frac{\partial}{\partial x} (5 x + 2 y) = 5

= cos (5 x + 2 y) \cdot 5

Beliebte Beispiele

integral of e^t+2t+ln(t)

\int e^{t} + 2 t + ln (t) d t

integral of 1/(x^2+2x-8)

\int \frac{1}{x ^{2} + 2 x - 8} d x

derivative of-sin(2x*2)

\frac{d}{d x} (- sin (2 x) \cdot 2)

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

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

y^{''}-8y^'+18y=0,y(0)=-4,y^'(0)=3

y^{^{''}} - 8 y^{^{'}} + 18 y = 0, y (0) = - 4, y^{^{'}} (0) = 3