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Beliebt Rechnen >

derivative of 4sin(x-5cos(x)+x)

Lösung

\frac{d}{d x} (4 sin (x) - 5 cos (x) + x)

Lösung

4 cos (x) + 5 sin (x) + 1

Schritte zur Lösung

\frac{d}{d x} (4 sin (x) - 5 cos (x) + x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 sin (x)) - \frac{d}{d x} (5 cos (x)) + \frac{d x}{d x}

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

\frac{d}{d x} (5 cos (x)) = - 5 sin (x)

\frac{d x}{d x} = 1

= 4 cos (x) - (- 5 sin (x)) + 1

Vereinfache

= 4 cos (x) + 5 sin (x) + 1

Graph

Beliebte Beispiele

derivative of 1/(16x^4)

\frac{d}{d x} (\frac{1}{16 x ^{4}})

(\partial)/(\partial x)(e^{2x+5y})

\frac{\partial}{\partial x} (e^{2 x + 5 y})

derivative of cos(x-pi/4)

\frac{d}{d x} (cos (x - \frac{π}{4}))

derivative y=4x^2-2x+(-9)

d er i v a t i v e y = 4 x^{2} - 2 x + (- 9)

d/(du)(sqrt(uv))

\frac{d}{d u} (uv)