derivative of cos^2(x^2+3)

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 cos (x^{2} + 3) (- sin (x^{2} + 3) \cdot 2 x)

Vereinfache

= - 4 x cos (x^{2} + 3) sin (x^{2} + 3)

\frac{\partial}{\partial y} (y - e^{t})

csc (y) d x + sec (2 x) d y = 0

\frac{\partial}{\partial x} (cos (π) x)

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{1 + 2 x})

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