derivative of e^{ktan(sqrt(7x)})

Lösung

\frac{d}{d x} (e^{k t a n (7 x)})

\frac{7 k e ^{k t a n (7 x)} sec ^{2} ( 7 x )}{2 x}

Schritte zur Lösung

\frac{d}{d x} (e^{k t a n (7 x)})

Vereinfache

e^{k t a n (7 x)} : e^{k t a n (7 x)}

= \frac{d}{d x} (e^{k t a n (7 x)})

Wende die Kettenregel an:

e^{k t a n (7 x)} \frac{d}{d x} (k tan (7 x))

= e^{k t a n (7 x)} \frac{d}{d x} (k tan (7 x))

\frac{d}{d x} (k tan (7 x)) = \frac{7 k sec ^{2} ( 7 x )}{2 x}

= e^{k t a n (7 x)} \frac{7 k sec ^{2} ( 7 x )}{2 x}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 k e ^{k t a n (7 x)} sec ^{2} ( 7 x )}{2 x}

t an g e n t 5 - x - x^{2}

\int \frac{5 x}{x ( x - 1 )} d x

\int 11 ln (x) d x

in v erse l a pl a ce \frac{2}{( s + 2 ) ^{2}}

\frac{d}{d x} (\frac{2 x}{9 - cot ( x )})