derivative y=43x^2+(x^2)^{43}

Lösung

ableitung von

y = 43 x^{2} + (x^{2})^{43}

86 x + 86 x^{85}

Schritte zur Lösung

\frac{d}{d x} (43 x^{2} + (x^{2})^{43})

Vereinfache

43 x^{2} + (x^{2})^{43} : 43 x^{2} + x^{86}

= \frac{d}{d x} (43 x^{2} + x^{86})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (43 x^{2}) + \frac{d}{d x} (x^{86})

\frac{d}{d x} (43 x^{2}) = 86 x

\frac{d}{d x} (x^{86}) = 86 x^{85}

= 86 x + 86 x^{85}