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Beliebt Rechnen >

d/(da)(sin(a)-cos(a))

Lösung

\frac{d}{d a} (sin (a) - cos (a))

Lösung

cos (a) + sin (a)

Schritte zur Lösung

\frac{d}{d a} (sin (a) - cos (a))

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d a} (sin (a)) = cos (a)

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

= cos (a) - (- sin (a))

Vereinfache

= cos (a) + sin (a)

Graph

Beliebte Beispiele

derivative-(sin(x))/(cos(x))

d er i v a t i v e - \frac{sin ( x )}{cos ( x )}

x^{^{'}} - 10 x = 0

y^{''}-12y^'+36y=30x+2

y^{^{''}} - 12 y^{^{'}} + 36 y = 30 x + 2

integral of 12y

\int 12 y d y

derivative f(x)= 1/(4x^2+5x)

d er i v a t i v e f (x) = \frac{1}{4 x ^{2} + 5 x}