derivative of cos(e^{cot(x^2}))

Lösung

\frac{d}{d x} (cos (e^{c o t (x^{2})}))

2 e^{c o t (x^{2})} x csc^{2} (x^{2}) sin (e^{c o t (x^{2})})

Schritte zur Lösung

\frac{d}{d x} (cos (e^{c o t (x^{2})}))

Wende die Kettenregel an:

- sin (e^{c o t (x^{2})}) \frac{d}{d x} (e^{c o t (x^{2})})

= - sin (e^{c o t (x^{2})}) \frac{d}{d x} (e^{c o t (x^{2})})

\frac{d}{d x} (e^{c o t (x^{2})}) = - 2 e^{c o t (x^{2})} x csc^{2} (x^{2})

= - sin (e^{c o t (x^{2})}) (- 2 e^{c o t (x^{2})} x csc^{2} (x^{2}))

Vereinfache

= 2 e^{c o t (x^{2})} x csc^{2} (x^{2}) sin (e^{c o t (x^{2})})

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

\int - x^{2} sin (y) d y

\frac{d}{d x} ((arccot (x))^{5})

\int \frac{- 1}{y ^{2} + 1} d y

y^{^{''}} + 2 y = sin (2 t), y (0) = 0, y^{^{'}} (0) = 0