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Beliebt Rechnen >

derivative of sin(3x+4sqrt(x))

Lösung

\frac{d}{d x} (sin (3 x) + 4 x)

Lösung

cos (3 x) \cdot 3 + \frac{2}{x}

Schritte zur Lösung

\frac{d}{d x} (sin (3 x) + 4 x)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (4 x) = \frac{2}{x}

= cos (3 x) \cdot 3 + \frac{2}{x}

Graph

Beliebte Beispiele

integral of (1/(x^{12)})

\int (\frac{1}{x ^{12}}) d x

integral from 0 to 1 of sin(x^2)

\int_{0}^{1} sin (x^{2}) d x

integral of 3e^{7x}

\int 3 e^{7 x} d x

y^{^{'}} = x^{2} + 2 y

integral of (1-tanh^3(3x))/(tanh(3x))

\int \frac{1 - tanh ^{3} ( 3 x )}{tanh ( 3 x )} d x