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Beliebt Rechnen >

derivative of sin^2(x+sin(x))

Lösung

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

Lösung

sin (2 x) + cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin^{2} (x)) + \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

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

= sin (2 x) + cos (x)

Graph

Beliebte Beispiele

fläche x=4y^2,x=2+2y^2

a re a x = 4 y^{2}, x = 2 + 2 y^{2}

(\partial)/(\partial x)(4x^2+xy+3y^2-8)

\frac{\partial}{\partial x} (4 x^{2} + x y + 3 y^{2} - 8)

tangent f(x)=2x^2,\at x=5

t an g e n t f (x) = 2 x^{2}, at x = 5

integral of 7cos^2(x)sin(2x)

\int 7 cos^{2} (x) sin (2 x) d x

integral of (-x)/x

\int \frac{- x}{x} d x