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Beliebt Rechnen >

derivative of e^{cos(4x})

Lösung

\frac{d}{d x} (e^{c o s (4 x)})

Lösung

- 4 e^{c o s (4 x)} sin (4 x)

Schritte zur Lösung

\frac{d}{d x} (e^{c o s (4 x)})

Wende die Kettenregel an:

e^{c o s (4 x)} \frac{d}{d x} (cos (4 x))

= e^{c o s (4 x)} \frac{d}{d x} (cos (4 x))

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

= e^{c o s (4 x)} (- sin (4 x) \cdot 4)

Vereinfache

= - 4 e^{c o s (4 x)} sin (4 x)

Graph

Beliebte Beispiele

steigung (6.3)(7.8)

s l o p e (6.3) (7.8)

t an g e n t 33 x^{3}

integral of (a+bx^7)/(sqrt(8ax+bx^8))

\int \frac{a + b x ^{7}}{8 a x + b x ^{8}} d x

tangent f(x)=4e^x+x,\at x=0

t an g e n t f (x) = 4 e^{x} + x, at x = 0

derivative of cos((1-e^{7x}/(1+e^{7x)}))

\frac{d}{d x} (cos (\frac{1 - e ^{7 x}}{1 + e ^{7 x}}))