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

Lösung

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

cos (π (4 x - 4 y)) \cdot 4 π

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (π (4 x - 4 y)) \cdot 4 π

s im pl i f y \frac{2}{x}

d er i v a t i v e (\frac{x ^{3}}{x ^{8} + 7})^{2}

h \to 0 lim (h^{4} cos (\frac{3}{h}))

\frac{\partial}{\partial x} (8 e^{x^{8} y})

\int \frac{sec ^{3} ( x )}{tan ^{4} ( x )} d x