derivative of sqrt(5x)+(sqrt(7)/t)

Lösung

\frac{d}{d x} (5 x + \frac{7}{t})

\frac{5}{2 x}

Schritte zur Lösung

\frac{d}{d x} (5 x + \frac{7}{t})

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{7}{t})

\frac{d}{d x} (5 x) = \frac{5}{2 x}

\frac{d}{d x} (\frac{7}{t}) = 0

= \frac{5}{2 x} + 0

Vereinfache

= \frac{5}{2 x}

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