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Beliebt Rechnen >

derivative arcsec(5x)

Lösung

ableitung von

arcsec (5 x)

Lösung

\frac{1}{x ^{2} 25 x ^{2} - 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{( 5 x ) ^{2} ( 5 x ) ^{2} - 1} \cdot 5

Vereinfache

\frac{1}{( 5 x ) ^{2} ( 5 x ) ^{2} - 1} \cdot 5 : \frac{1}{x ^{2} 25 x ^{2} - 1}

= \frac{1}{x ^{2} 25 x ^{2} - 1}

Graph

Beliebte Beispiele

(\partial}{\partial L}(L^{1/4)/K ^{1/4})

\frac{\partial}{\partial L} (L^{\frac{1}{4}} K^{\frac{1}{4}})

fläche e^{(x/4)},x=4,y=1

a re a e^{(\frac{x}{4})}, x = 4, y = 1

fläche x^2,-1<= x<= 2

a re a x^{2}, - 1 \leq x \leq 2

integral of 8t^3

\int 8 t^{3} d t

derivative of sqrt(1/x)

\frac{d}{d x} (\frac{1}{x})