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Beliebt Rechnen >

d/(dθ)(4-θ^2sin(θ))

Lösung

\frac{d}{d θ} (4 - θ^{2} sin (θ))

Lösung

- θ^{2} cos (θ) - 2 θ sin (θ)

Schritte zur Lösung

\frac{d}{d θ} (4 - θ^{2} sin (θ))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d θ} (4) - \frac{d}{d θ} (θ^{2} sin (θ))

\frac{d}{d θ} (4) = 0

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

= 0 - (2 θ sin (θ) + cos (θ) θ^{2})

Vereinfache

= - θ^{2} cos (θ) - 2 θ sin (θ)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/(2x+3y))

\frac{\partial}{\partial x} (\frac{1}{2 x + 3 y})

tangent y=3-2x+4x^3,(-1,1)

t an g e n t y = 3 - 2 x + 4 x^{3}, (- 1, 1)

integral of sqrt(1+cos(x))

\int 1 + cos (x) d x

x^2(dy)/(dx)-2x^3e^{-1/x}=y

x^{2} \frac{d y}{d x} - 2 x^{3} e^{- \frac{1}{x}} = y

integral of sin(5x)sin(4x)

\int sin (5 x) sin (4 x) d x