(\partial)/(\partial x)(sin(pi(5x-5y)))

Lösung

\frac{\partial}{\partial x} (sin (π (5 x - 5 y)))

cos (π (5 x - 5 y)) \cdot 5 π

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (π (5 x - 5 y)))

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (π (5 x - 5 y)) \frac{\partial}{\partial x} (π (5 x - 5 y))

= cos (π (5 x - 5 y)) \frac{\partial}{\partial x} (π (5 x - 5 y))

\frac{\partial}{\partial x} (π (5 x - 5 y)) = 5 π

= cos (π (5 x - 5 y)) \cdot 5 π

d er i v a t i v e f (x) = \frac{x ^{3} - 8 x ^{2} + 5}{x ^{2}}

d er i v a t i v e 3 e^{y}

\frac{d}{d x} (- 2 x^{2} + \frac{5}{3} x + 11)

\frac{d}{d x} (ln (\frac{x ^{2} - 2}{x ^{2} + 2}))

\frac{d}{d x} (- 5 x^{\frac{4}{5}} + 3 x^{\frac{2}{3}} + 2)