derivative (11-x)/7+(sqrt(36+x^2))/3

Lösung

ableitung von

\frac{11 - x}{7} + \frac{36 + x ^{2}}{3}

- \frac{1}{7} + \frac{x}{3 36 + x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{11 - x}{7} + \frac{36 + x ^{2}}{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{11 - x}{7}) + \frac{d}{d x} (\frac{36 + x ^{2}}{3})

\frac{d}{d x} (\frac{11 - x}{7}) = - \frac{1}{7}

\frac{d}{d x} (\frac{36 + x ^{2}}{3}) = \frac{x}{3 36 + x ^{2}}

= - \frac{1}{7} + \frac{x}{3 36 + x ^{2}}

\int_{0}^{9} ∣ 2 x - 9 ∣ d x

x \to 3 - lim (\frac{e ^{2}}{x - 3})

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

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