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Beliebt Rechnen >

derivative of 9cos(9x)

Lösung

\frac{d}{d x} (9 cos (9 x))

Lösung

- 81 sin (9 x)

Schritte zur Lösung

\frac{d}{d x} (9 cos (9 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

- sin (9 x) \frac{d}{d x} (9 x)

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

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

= 9 (- sin (9 x) \cdot 9)

Vereinfache

= - 81 sin (9 x)

Graph

Beliebte Beispiele

f(x)=cos(x^{ln(x^2+1)})

f (x) = cos (x^{l n (x^{2} + 1)})

sum from n=0 to infinity of (n!)/(3^n)

n = 0 \sum \infty \frac{n !}{3 ^{n}}

integral of 103t^2

\int 103 t^{2} d t

derivative of 9x+1/x-4

\frac{d}{d x} (9 x + \frac{1}{x} - 4)

limit as x approaches 3 of 4-x

x \to 3 lim (4 - x)