derivative of 7sqrt(x^2+8x)

Lösung

\frac{d}{d x} (7 x^{2} + 8 x)

\frac{7 ( x + 4 )}{x ^{2} + 8 x}

Schritte zur Lösung

\frac{d}{d x} (7 x^{2} + 8 x)

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (x^{2} + 8 x)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} + 8 x} \frac{d}{d x} (x^{2} + 8 x)

= \frac{1}{2 x ^{2} + 8 x} \frac{d}{d x} (x^{2} + 8 x)

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

= 7 \cdot \frac{1}{2 x ^{2} + 8 x} (2 x + 8)

Vereinfache

7 \cdot \frac{1}{2 x ^{2} + 8 x} (2 x + 8) : \frac{7 ( x + 4 )}{x ^{2} + 8 x}

= \frac{7 ( x + 4 )}{x ^{2} + 8 x}

t an g e n t f (x) = 3 x^{2} + 2 x, at p (- 1, 5)

n = 1 \sum \infty \frac{2 n ^{2}}{n !}

\frac{\partial}{\partial x} (sin (π (5 x - 3 y)))

\int 1 + (\frac{4}{3 x ^{\frac{1}{3}}})^{2} d x

d er i v a t i v e y = \frac{f ( x )}{x ^{2} + 2}