derivative of (2x^3+5^4)

Lösung

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

24 x^{2} (2 x^{3} + 5)^{3}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= 4 (2 x^{3} + 5)^{3} \frac{d}{d x} (2 x^{3} + 5)

\frac{d}{d x} (2 x^{3} + 5) = 6 x^{2}

= 4 (2 x^{3} + 5)^{3} \cdot 6 x^{2}

Vereinfache

= 24 x^{2} (2 x^{3} + 5)^{3}

\int (8 t^{4} + 5 t^{3} - 6 t^{2} + 7 t - 9) d t

\int \frac{3}{x ^{5}} d x

\frac{d}{d x} (x^{3} + a x^{2} y + b x y^{2} + y^{3})

\int e^{0.5 t} d t

x \to 2 lim (\frac{( 3 x - 6 )}{1 - 4 x - 7})