derivative sqrt(5x^3+2x^2+3)

Lösung

ableitung von

5 x^{3} + 2 x^{2} + 3

\frac{15 x ^{2} + 4 x}{2 5 x ^{3} + 2 x ^{2} + 3}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 5 x ^{3} + 2 x ^{2} + 3} \frac{d}{d x} (5 x^{3} + 2 x^{2} + 3)

= \frac{1}{2 5 x ^{3} + 2 x ^{2} + 3} \frac{d}{d x} (5 x^{3} + 2 x^{2} + 3)

\frac{d}{d x} (5 x^{3} + 2 x^{2} + 3) = 15 x^{2} + 4 x

= \frac{1}{2 5 x ^{3} + 2 x ^{2} + 3} (15 x^{2} + 4 x)

Vereinfache

\frac{1}{2 5 x ^{3} + 2 x ^{2} + 3} (15 x^{2} + 4 x) : \frac{15 x ^{2} + 4 x}{2 5 x ^{3} + 2 x ^{2} + 3}

= \frac{15 x ^{2} + 4 x}{2 5 x ^{3} + 2 x ^{2} + 3}

x \to \infty lim (co x (x))

\frac{\partial}{\partial s} (- 5 s^{2} t)

250 y^{^{''}} + 8 y^{^{'}} + 2 y = 0

\int \frac{e ^{\frac{1}{x ^{6}}}}{x ^{7}} d x

\int_{0}^{5} ∣ 2 x - 6 ∣ d x