derivative f(x)=4x^2+1

Lösung

ableitung von

f (x) = 4 x^{2} + 1

8 x

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (1) = 0

= 8 x + 0

Vereinfache

= 8 x

y^{^{'}} + \frac{1}{2} y = 8, y (0) = 2

\frac{\partial}{\partial x} (\frac{( x v ^{2} )}{( x ^{2} + v ^{2} )})

\int \frac{5}{( 5 x + 4 ) ln ( 5 x + 4 )} d x

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