derivative f(x)=sqrt(3+5sin(x))

Lösung

ableitung von

f (x) = 3 + 5 sin (x)

\frac{5 cos ( x )}{2 3 + 5 sin ( x )}

Schritte zur Lösung

\frac{d}{d x} (3 + 5 sin (x))

Wende die Kettenregel an:

\frac{1}{2 3 + 5 sin ( x )} \frac{d}{d x} (3 + 5 sin (x))

= \frac{1}{2 3 + 5 sin ( x )} \frac{d}{d x} (3 + 5 sin (x))

\frac{d}{d x} (3 + 5 sin (x)) = 5 cos (x)

= \frac{1}{2 3 + 5 sin ( x )} \cdot 5 cos (x)

Vereinfache

\frac{1}{2 3 + 5 sin ( x )} \cdot 5 cos (x) : \frac{5 cos ( x )}{2 3 + 5 sin ( x )}

= \frac{5 cos ( x )}{2 3 + 5 sin ( x )}

\int (3 1 + ln (x)) (x^{- 1}) d x

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