derivative a^2x^2+b^2

Lösung

ableitung von

a^{2} x^{2} + b^{2}

2 a^{2} x

Schritte zur Lösung

\frac{d}{d x} (a^{2} x^{2} + b^{2})

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (b^{2}) = 0

= 2 a^{2} x + 0

Vereinfache

= 2 a^{2} x

d er i v a t i v e y = (\frac{( x ^{2} + 8 )}{x ^{2} - 8})

d er i v a t i v e \frac{1}{( 1 - t ^{2} ) ^{\frac{1}{2}}}

t an g e n t f (x) = (\frac{x + 1}{x + 3})^{2}, at x = - 2

\int_{0}^{\infty} \frac{( y e ^{- \frac{y}{a}} )}{a} d y

a re a y = x^{2} - 4 x, y = 2 x + 7