(\partial)/(\partial x)(sin(pi(6x-2y)))

Lösung

\frac{\partial}{\partial x} (sin (π (6 x - 2 y)))

cos (π (6 x - 2 y)) \cdot 6 π

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (π (6 x - 2 y)))

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (π (6 x - 2 y)) \frac{\partial}{\partial x} (π (6 x - 2 y))

= cos (π (6 x - 2 y)) \frac{\partial}{\partial x} (π (6 x - 2 y))

\frac{\partial}{\partial x} (π (6 x - 2 y)) = 6 π

= cos (π (6 x - 2 y)) \cdot 6 π

\int_{1}^{\infty} \frac{1}{x ^{2} + 2} d x

x \to - 6 lim (x^{2} - 7)

n = 1 \sum \infty \frac{7}{n ^{2} + 25}

\int_{0}^{\frac{1}{2}} \frac{5}{1 + 4 x ^{2}} d x

d er i v a t i v e e^{x} (3 x^{2} - x + 1)