derivative of (x^2+3^5)

Lösung

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

10 x (x^{2} + 3)^{4}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 10 x (x^{2} + 3)^{4}

d er i v a t i v e f (x) = (sin (x))^{2}

a re a x^{2} + 1, 0, 2

\frac{\partial}{\partial x} (f (x, y) (x y))

x \to 0 - lim (\frac{4 - x}{x})

\int \frac{x ^{2} + 1}{x ( x - 1 ) ^{3}} d x