derivative of sin^2(2x^2)

Lösung

\frac{d}{d x} (sin^{2} (2) x^{2})

2 sin^{2} (2) x

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (2) x^{2})

Entferne die Konstante:

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

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= sin^{2} (2) \cdot 2 x^{2 - 1}

Vereinfache

= 2 sin^{2} (2) x

\int \frac{5}{1 + 4 x ^{2}} d x

\int 6 x + 7 d x

\int \frac{3 x ^{2} + 4 x + 19}{( x + 3 ) ( x ^{2} + 25 )} d x

\int_{1}^{2} (x^{2} - x) d x

\frac{d}{d x} (tan (1 + x^{3}))