derivative of sin(x+3+(-cos(x-1/2)))

Lösung

\frac{d}{d x} (sin (x + 3) + (- cos (x - \frac{1}{2})))

cos (x + 3) + sin (x - \frac{1}{2})

Schritte zur Lösung

\frac{d}{d x} (sin (x + 3) + (- cos (x - \frac{1}{2})))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (x + 3)) - \frac{d}{d x} (cos (x - \frac{1}{2}))

\frac{d}{d x} (sin (x + 3)) = cos (x + 3)

\frac{d}{d x} (cos (x - \frac{1}{2})) = - sin (x - \frac{1}{2})

= cos (x + 3) - (- sin (x - \frac{1}{2}))

Vereinfache

= cos (x + 3) + sin (x - \frac{1}{2})

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

\frac{d}{d x} (\frac{x ^{2} + 2}{x ^{4} - 3 x ^{2} + 1})

y^{^{'}} = y \cdot tan (x) + sin (x)

\frac{\partial}{\partial x} (x ln (x^{2} y + y^{2}))

\int (x^{8} + sec^{2} (x)) d x