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Beliebt Rechnen >

derivative of 5x-tan(5x)

Lösung

\frac{d}{d x} (5 x - tan (5 x))

Lösung

- 5 tan^{2} (5 x)

Schritte zur Lösung

\frac{d}{d x} (5 x - tan (5 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x) - \frac{d}{d x} (tan (5 x))

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

\frac{d}{d x} (tan (5 x)) = sec^{2} (5 x) \cdot 5

= 5 - sec^{2} (5 x) \cdot 5

Vereinfache

5 - sec^{2} (5 x) \cdot 5 : - 5 tan^{2} (5 x)

= - 5 tan^{2} (5 x)

Graph

Beliebte Beispiele

y^{^{'}} + y = 5 sin (2 t)

(d^2)/(dx^2)(1/(x^3))

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

integral of 8/x

\int \frac{8}{x} d x

limit as x approaches 0 of 2x^x

x \to 0 lim (2 x^{x})

derivative 1/(10x^{9/10)}

d er i v a t i v e \frac{1}{10 x ^{\frac{9}{10}}}