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Beliebt Rechnen >

derivative sin(x+pi/2)

Lösung

ableitung von

sin (x + \frac{π}{2})

Lösung

- sin (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x + \frac{π}{2}))

Vereinfache

sin (x + \frac{π}{2}) : cos (x)

= \frac{d}{d x} (cos (x))

Wende die allgemeine Ableitungsregel an:

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

= - sin (x)

Graph

Beliebte Beispiele

y^'=(y^2+2xy)/(x^2)

y^{^{'}} = \frac{y ^{2} + 2 x y}{x ^{2}}

integral from 0 to pi/2 of 4cos^5(x)

\int_{0}^{\frac{π}{2}} 4 cos^{5} (x) d x

3y^{''}-6y^'+3y=0

3 y^{^{''}} - 6 y^{^{'}} + 3 y = 0

(\partial)/(\partial y)((2x^2y)/(3+x^2y^2))

\frac{\partial}{\partial y} (\frac{2 x ^{2} y}{3 + x ^{2} y ^{2}})

integral of (e^t)/(1+e^t)

\int \frac{e ^{t}}{1 + e ^{t}} d t