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Beliebt Rechnen >

derivative of-4e^x-sin(x-9)

Lösung

\frac{d}{d x} (- 4 e^{x} - sin (x) - 9)

Lösung

- 4 e^{x} - cos (x)

Schritte zur Lösung

\frac{d}{d x} (- 4 e^{x} - sin (x) - 9)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (4 e^{x}) - \frac{d}{d x} (sin (x)) - \frac{d}{d x} (9)

\frac{d}{d x} (4 e^{x}) = 4 e^{x}

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

\frac{d}{d x} (9) = 0

= - 4 e^{x} - cos (x) - 0

Vereinfache

= - 4 e^{x} - cos (x)

Graph

Beliebte Beispiele

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\int π^{2}

integral of 4sin^2(x)cos^2(x)

\int 4 sin^{2} (x) cos^{2} (x) d x

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\int csc^{3} (d) x d x

integral of (26)/((1-x^2)^{3/2)}

\int \frac{26}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x