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Beliebt Rechnen >

derivative of sin(x+cos(x)+tan(x))

Lösung

\frac{d}{d x} (sin (x) + cos (x) + tan (x))

Lösung

cos (x) - sin (x) + sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + cos (x) + tan (x))

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= cos (x) - sin (x) + sec^{2} (x)

Graph

Beliebte Beispiele

d/(dy)(ln(sqrt(xy)))

\frac{d}{d y} (ln (x y))

derivative (450t)/((t^2+6)^3)

d er i v a t i v e \frac{450 t}{( t ^{2} + 6 ) ^{3}}

tangent y=(2x)/(x^2+1),(0,0)

t an g e n t y = \frac{2 x}{x ^{2} + 1}, (0, 0)

(\partial)/(\partial y)(sqrt(xye^y))

\frac{\partial}{\partial y} (x y e^{y})

integral of (2y)/(1-y^2)

\int \frac{2 y}{1 - y ^{2}} d y