derivative of pix^2

Lösung

\frac{d}{d x} (π x^{2})

2 π x

Schritte zur Lösung

\frac{d}{d x} (π x^{2})

Entferne die Konstante:

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

= π \frac{d}{d x} (x^{2})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= π 2 x^{2 - 1}

Vereinfache

= 2 π x

\int \frac{x ^{2} + 24 x ^{3}}{x} d x

\frac{d}{d x} (arcsinh (5 x^{3} - 4 x^{2} + 11))

t an g e n t f (x) = 2 x - 1 + \frac{6}{x}, at x = 2

\frac{\partial}{\partial x} (A (e^{2 x} + 2 e^{2 x} x))

t an g e n t (x^{2} + y^{2})^{3} = 8 x^{2} y^{2}, (1, 1)