derivative of cos^2(3x+1-sin^2(3x+1))

Lösung

\frac{d}{d x} (cos^{2} (3 x + 1) - sin^{2} (3 x + 1))

- sin (2 (1 + 3 x)) \cdot 6

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (3 x + 1) - sin^{2} (3 x + 1))

Vereinfache

cos^{2} (3 x + 1) - sin^{2} (3 x + 1) : cos (2 (1 + 3 x))

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 (1 + 3 x)) = 6

= - sin (2 (1 + 3 x)) \cdot 6

\int 1 + sin (x) d x

d er i v a t i v e f (x) = 5 + 4 e^{3 x}

y^{^{''}} + 16 y^{^{'}} + 64 y = 0, y (0) = - 3, y^{^{'}} (0) = 28

\int_{0}^{8} 1 + \frac{81}{4} x d x

d er i v a t i v e 4 x^{2} - 6 x + 2