derivative of sqrt(7-10x)

Lösung

\frac{d}{d x} (7 - 10 x)

- \frac{5}{7 - 10 x}

Schritte zur Lösung

\frac{d}{d x} (7 - 10 x)

Wende die Kettenregel an:

\frac{1}{2 7 - 10 x} \frac{d}{d x} (7 - 10 x)

= \frac{1}{2 7 - 10 x} \frac{d}{d x} (7 - 10 x)

\frac{d}{d x} (7 - 10 x) = - 10

= \frac{1}{2 7 - 10 x} (- 10)

Vereinfache

\frac{1}{2 7 - 10 x} (- 10) : - \frac{5}{7 - 10 x}

= - \frac{5}{7 - 10 x}

\int \frac{sin ( x )}{5 + cos ^{2} ( x )} d x

\frac{d}{d x} (1 - ∣ 1 - x ∣)

\int \frac{x ^{4}}{x} d x

x \to 2 lim (sin (\frac{1}{x - 2}))

x \to \infty lim (\frac{4 x ^{2} + 5 x}{10 + x ^{4}})