derivative y=3x^2+e^{2x}+pi^2

Lösung

ableitung von

y = 3 x^{2} + e^{2 x} + π^{2}

6 x + 2 e^{2 x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

\frac{d}{d x} (π^{2}) = 0

= 6 x + e^{2 x} \cdot 2 + 0

Vereinfache

= 6 x + 2 e^{2 x}

a re a y = \frac{3}{x}, y = 9 x, y = \frac{1}{9} x

\int_{3}^{4} x x - 3 d x

t an g e n t f (x) = \frac{1}{x + 9}, at x = - 7

\frac{\partial}{\partial x} (3 y e^{4 x y} + 8 x)

\int \frac{3}{12 x - 1} d x