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Beliebt Rechnen >

derivative f(x)=tan(sqrt(x))

Lösung

ableitung von

f (x) = tan (x)

Lösung

\frac{sec ^{2} ( x )}{2 x}

Schritte zur Lösung

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

Wende die Kettenregel an:

sec^{2} (x) \frac{d}{d x} (x)

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= sec^{2} (x) \frac{1}{2 x}

Vereinfache

sec^{2} (x) \frac{1}{2 x} : \frac{sec ^{2} ( x )}{2 x}

= \frac{sec ^{2} ( x )}{2 x}

Graph

Beliebte Beispiele

integral of 1/(x*cos^2(ln(x)))

\int \frac{1}{x \cdot cos ^{2} ( ln ( x ) )} d x

(dh)/(dt)=-0.006sqrt(19.6h)

\frac{d h}{d t} = - 0.006 19.6 h

derivative of-1/((3+x^2))

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

derivative of sin(h(x))

\frac{d}{d x} (sin (h) (x))

maclaurin f(x)=e^x

ma c l a u r in f (x) = e^{x}