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Beliebt Rechnen >

derivative of sin(x+sin(7x))

Lösung

\frac{d}{d x} (sin (x + sin (7 x)))

Lösung

cos (x + sin (7 x)) (1 + cos (7 x) \cdot 7)

Schritte zur Lösung

\frac{d}{d x} (sin (x + sin (7 x)))

Wende die Kettenregel an:

cos (x + sin (7 x)) \frac{d}{d x} (x + sin (7 x))

= cos (x + sin (7 x)) \frac{d}{d x} (x + sin (7 x))

\frac{d}{d x} (x + sin (7 x)) = 1 + cos (7 x) \cdot 7

= cos (x + sin (7 x)) (1 + cos (7 x) \cdot 7)

Graph

Beliebte Beispiele

derivative y=(x-1)e^x

d er i v a t i v e y = (x - 1) e^{x}

derivative of 3/((3-x^8^{3/2)})

\frac{d}{d x} (\frac{3}{( 3 - x ^{8} ) ^{\frac{3}{2}}})

derivative of x^{10}e^{x+10}

\frac{d}{d x} (x^{10} e^{x + 10})

integral from 0 to 1 of 5/(sqrt(x)(1+x))

\int_{0}^{1} \frac{5}{x ( 1 + x )} d x

(dy)/(dt)=k(80-y)(50-y)

\frac{d y}{d t} = k (80 - y) (50 - y)