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

Lösung

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

cos (5 π x + 2 y) \cdot 5 π

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (5 π x + 2 y) \cdot 5 π

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

d er i v a t i v e \frac{1}{2 r} + \frac{1}{6 r ^{\frac{5}{6}}}

d er i v a t i v e \frac{( x + 2 ) ( 2 x + 4 )}{- x ^{2} - x - 2}

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

\frac{d}{d x} (ln (\frac{( 2 x + 9 ) ^{3}}{x ^{2}}))