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Beliebt Rechnen >

derivative of x^3sec(x)

Lösung

\frac{d}{d x} (x^{3} sec (x))

Lösung

3 x^{2} sec (x) + sec (x) tan (x) x^{3}

Schritte zur Lösung

\frac{d}{d x} (x^{3} sec (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = sec (x)

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

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

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 3 x^{2} sec (x) + sec (x) tan (x) x^{3}

Graph

Beliebte Beispiele

limit as x approaches-1/3 of 9x(4x+9)^2

x \to - \frac{1}{3} lim (9 x (4 x + 9)^{2})

integral of (9/(sqrt(x)))

\int (\frac{9}{x}) d x

derivative arccsc(-9t^2)

d er i v a t i v e arccsc (- 9 t^{2})

integral of (x+7)/(x^2+9)

\int \frac{x + 7}{x ^{2} + 9} d x

integral of 1/(v^2)

\int \frac{1}{v ^{2}} d v