derivative of sinh^3(2x)

Lösung

\frac{d}{d x} (sinh^{3} (2 x))

6 sinh^{2} (2 x) cosh (2 x)

Schritte zur Lösung

\frac{d}{d x} (sinh^{3} (2 x))

Wende die Kettenregel an:

3 (sinh (2 x))^{2} \frac{d}{d x} (sinh (2 x))

= 3 (sinh (2 x))^{2} \frac{d}{d x} (sinh (2 x))

\frac{d}{d x} (sinh (2 x)) = cosh (2 x) \cdot 2

= 3 (sinh (2 x))^{2} cosh (2 x) \cdot 2

Vereinfache

= 6 sinh^{2} (2 x) cosh (2 x)

\int \frac{2 x ^{2} - 25 x - 33}{( x + 1 ) ^{2} ( x - 5 )} d x

3 e^{5 x} \frac{d y}{d x} = \frac{- 25 x}{y ^{2}}, y (0) = 1

x \to 2 lim ((x - 1) (x + 1))

a re a 2 x^{2} + 12, [- 5, 0]

\int_{1}^{2} (3 x^{- 2}) d x