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Beliebt Rechnen >

derivative f(x)=3x^2cos(x)+7x

Lösung

ableitung von

f (x) = 3 x^{2} cos (x) + 7 x

Lösung

3 (2 x cos (x) - x^{2} sin (x)) + 7

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} cos (x) + 7 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2} cos (x)) + \frac{d}{d x} (7 x)

\frac{d}{d x} (3 x^{2} cos (x)) = 3 (2 x cos (x) - x^{2} sin (x))

\frac{d}{d x} (7 x) = 7

= 3 (2 x cos (x) - x^{2} sin (x)) + 7

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^2+xy+6x-6y)

\frac{\partial}{\partial x} (x^{2} + x y + 6 x - 6 y)

derivative of 8-x^2

\frac{d}{d x} (8 - x^{2})

integral of (x^2)/(x^3-7)

\int \frac{x ^{2}}{x ^{3} - 7} d x

integral from 0 to 4 of 1/x

\int_{0}^{4} \frac{1}{x} d x

\frac{3}{8 x ^{\frac{5}{2}}}