derivative sin^4(sqrt(x))

Lösung

ableitung von

sin^{4} (x)

\frac{2 sin ^{3} ( x ) cos ( x )}{x}

Schritte zur Lösung

\frac{d}{d x} (sin^{4} (x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (x)) = \frac{cos ( x )}{2 x}

= 4 (sin (x))^{3} \frac{cos ( x )}{2 x}

Vereinfache

4 sin^{3} (x) \frac{cos ( x )}{2 x} : \frac{2 sin ^{3} ( x ) cos ( x )}{x}

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

\int_{0}^{7} 9800 π (7 - y) d y

t an g e n t y = \frac{1}{( 1 + x ^{2} ) , ( - 1 , \frac{1}{2} )}

\int (x e^{2 x}) d x

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 5 y = 0

\int_{0}^{\frac{π}{12}} cos (4 x) d x