derivative arcsin(x)+sqrt(1+x^2)

Lösung

ableitung von

arcsin (x) + 1 + x^{2}

\frac{1}{1 - x ^{2}} + \frac{x}{1 + x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{1 - x ^{2}} + \frac{x}{1 + x ^{2}}

\int_{0}^{5} (25 - x^{2}) d x

x \to 0 lim (\frac{1}{x} - csc (x))

\int_{0}^{π} 9 x^{2} sin (\frac{1}{2} x) d x

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

\frac{d y}{d x} = y (1 + x)^{- 1}