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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (π (x - 4 y)) π

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (π (x - 4 y)) π

Beliebte Beispiele

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

\int (6 x^{2} - 4 x + 3) d x

(\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}

(xsqrt(1+y^2))dx-x^2dy=0

(x 1 + y^{2}) d x - x^{2} d y = 0