derivative of 625sin(5x)

Lösung

\frac{d}{d x} (625 sin (5 x))

3125 cos (5 x)

Schritte zur Lösung

\frac{d}{d x} (625 sin (5 x))

Entferne die Konstante:

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

= 625 \frac{d}{d x} (sin (5 x))

Wende die Kettenregel an:

cos (5 x) \frac{d}{d x} (5 x)

= cos (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= 625 cos (5 x) \cdot 5

Vereinfache

= 3125 cos (5 x)

\int \frac{32 x ^{2}}{( x - 6 ) ( x + 2 ) ^{2}} d x

\int x^{3} x^{2} + 26 d x

in v erse l a pl a ce \frac{1}{( s ( s ^{2} + 0.4 s + 4 ) )}

\int_{1}^{x} 1 + 9 x d x

\frac{\partial}{\partial x} (1 + x ln (x y - 7))