derivative of-sqrt(3)sin(x+cos(x))

Lösung

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

- 3 cos (x) - sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

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

= - 3 cos (x) - sin (x)

\int \frac{8 x ^{3} + 13 x}{( x ^{2} + 2 ) ^{2}} d x

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

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

(2 x y + 2 y^{2}) d x + (x^{2} + 4 x y) d y = 0, y (1) = 1

\frac{d}{d x} (- x^{4} - \frac{4}{3} x^{3} + 4 x^{2})