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Beliebt Rechnen >

derivative of 3sin(x-4cos(x))

Lösung

\frac{d}{d x} (3 sin (x) - 4 cos (x))

Lösung

3 cos (x) + 4 sin (x)

Schritte zur Lösung

\frac{d}{d x} (3 sin (x) - 4 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 sin (x)) - \frac{d}{d x} (4 cos (x))

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

\frac{d}{d x} (4 cos (x)) = - 4 sin (x)

= 3 cos (x) - (- 4 sin (x))

Vereinfache

= 3 cos (x) + 4 sin (x)

Graph

Beliebte Beispiele

derivative of (1+1/x ^3)

\frac{d}{d x} ((1 + \frac{1}{x})^{3})

(\partial)/(\partial x)((ln(x))^x)

\frac{\partial}{\partial x} ((ln (x))^{x})

2sqrt(x)(dy)/(dx)=sqrt(1-y^2)

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

integral from 0 to 1 of te^{-t}

\int_{0}^{1} t e^{- t} d t

x \frac{d y}{d x} = 2 y