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Beliebt Rechnen >

derivative of xsec(x)

Lösung

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

Lösung

sec (x) + x sec (x) tan (x)

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x, g = sec (x)

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

\frac{d x}{d x} = 1

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

= 1 \cdot sec (x) + sec (x) tan (x) x

Vereinfache

= sec (x) + x sec (x) tan (x)

Graph

Beliebte Beispiele

integral of (cos(θ))

\int (cos (θ)) d θ

tangent x^3-3x+4

t an g e n t x^{3} - 3 x + 4

integral of (x^3)/(x^2+1)

\int \frac{x ^{3}}{x ^{2} + 1} d x

(\partial)/(\partial x)(x^1y^2+y^4z^5)

\frac{\partial}{\partial x} (x^{1} y^{2} + y^{4} z^{5})

integral of sin^2(2x)cos^3(2x)

\int sin^{2} (2 x) cos^{3} (2 x) d x