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Beliebt Rechnen >

derivative e^{csc(x)}

Lösung

ableitung von

e^{c s c (x)}

Lösung

- e^{c s c (x)} cot (x) csc (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= e^{c s c (x)} \frac{d}{d x} (csc (x))

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= e^{c s c (x)} (- cot (x) csc (x))

Vereinfache

= - e^{c s c (x)} cot (x) csc (x)

Graph

Beliebte Beispiele

integral of 1/(t^{1/2)}

\int \frac{1}{t ^{\frac{1}{2}}} d t

fläche 3x+y^2=13,x=4y

a re a 3 x + y^{2} = 13, x = 4 y

y^3dx+2(x^3-xy^2)dy=0

y^{3} d x + 2 (x^{3} - x y^{2}) d y = 0

integral of (2x+3)/((x+7)^3)

\int \frac{2 x + 3}{( x + 7 ) ^{3}} d x

derivative (160(x+1))/((x+2)^2)

d er i v a t i v e \frac{160 ( x + 1 )}{( x + 2 ) ^{2}}