derivative of e^{cos(1/x})

Lösung

\frac{d}{d x} (e^{c o s (\frac{1}{x})})

\frac{e ^{c o s (\frac{1}{x})} sin ( \frac{1}{x} )}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (e^{c o s (\frac{1}{x})})

Wende die Kettenregel an:

e^{c o s (\frac{1}{x})} \frac{d}{d x} (cos (\frac{1}{x}))

= e^{c o s (\frac{1}{x})} \frac{d}{d x} (cos (\frac{1}{x}))

\frac{d}{d x} (cos (\frac{1}{x})) = \frac{sin ( \frac{1}{x} )}{x ^{2}}

= e^{c o s (\frac{1}{x})} \frac{sin ( \frac{1}{x} )}{x ^{2}}

Multipliziere Brüche:

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

= \frac{e ^{c o s (\frac{1}{x})} sin ( \frac{1}{x} )}{x ^{2}}

\int \frac{6400 x}{16 x ^{2} + 3200} d x

\frac{d y}{d x} (x y + y - 2 x - 2) = ln (x + 1)

x \to 0 lim (x^{6 s i n (x)})

x \to 0 lim (\frac{sin ( 5 x )}{sin ( 10 x )})

\int - 0.92 t + 1.86 d t