derivative of In(x^3+x)

Lösung

\frac{d}{d x} (I n (x^{3} + x))

I n (3 x^{2} + 1)

Schritte zur Lösung

\frac{d}{d x} (I n (x^{3} + x))

Behandle

n, I

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= I n \frac{d}{d x} (x^{3} + x)

Wende die Summen-/Differenzregel an:

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

= I n (\frac{d}{d x} (x^{3}) + \frac{d x}{d x})

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

\frac{d x}{d x} = 1

= I n (3 x^{2} + 1)

d er i v a t i v e f (x) = 2 x^{2} + 7 x

d er i v a t i v e x^{4} + 7 e^{x}

t an g e n t y = e^{3 x}, at x = \frac{1}{3} ln (5)

\frac{\partial}{\partial x} (\frac{5 x}{2 y})

\int_{0}^{1} (e^{- 0.2 t}) d t