derivative of sin(x/((y+1)))

Lösung

\frac{d}{d x} (sin (\frac{x}{( y + 1 )}))

\frac{cos ( \frac{x}{y + 1} ) ( y + 1 - x \frac{d y}{d x} )}{( y + 1 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (sin (\frac{x}{( y + 1 )}))

Wende die Kettenregel an:

cos (\frac{x}{y + 1}) \frac{d}{d x} (\frac{x}{y + 1})

= cos (\frac{x}{y + 1}) \frac{d}{d x} (\frac{x}{y + 1})

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

= cos (\frac{x}{y + 1}) \frac{y + 1 - x \frac{d y}{d x}}{( y + 1 ) ^{2}}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{cos ( \frac{x}{y + 1} ) ( y + 1 - x \frac{d y}{d x} )}{( y + 1 ) ^{2}}

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

d er i v a t i v e sin (lo g_{10} (1 + x))

d er i v a t i v e cos (7) x^{2}

d er i v a t i v e (e^{x})^{2} + 2 ln (x^{e})

\frac{d}{d x} ((x^{3} - 3 x^{2} + 3 x + 1)^{^{'}} - (x - 1)^{^{'}})