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Beliebt Rechnen >

derivative y=e^{cos(3)x^2}

Lösung

ableitung von

y = e^{c o s (3) x^{2}}

Lösung

e^{c o s (3) x^{2}} \cdot 2 cos (3) x

Schritte zur Lösung

\frac{d}{d x} (e^{c o s (3) x^{2}})

Wende die Kettenregel an:

e^{c o s (3) x^{2}} \frac{d}{d x} (cos (3) x^{2})

= e^{c o s (3) x^{2}} \frac{d}{d x} (cos (3) x^{2})

\frac{d}{d x} (cos (3) x^{2}) = 2 cos (3) x

= e^{c o s (3) x^{2}} \cdot 2 cos (3) x

Graph

Beliebte Beispiele

derivative of (6x^7/(5tan(x)))

\frac{d}{d x} (\frac{6 x ^{7}}{5 tan ( x )})

integral of 1/(200+3t)

\int \frac{1}{200 + 3 t} d t

integral of xe^{-x/4}

\int x e^{- \frac{x}{4}} d x

tangent x+1/x ,\at x=4

t an g e n t x + \frac{1}{x}, at x = 4

limit as x approaches 22 of 2x^2-3x-5

x \to 22 lim (2 x^{2} - 3 x - 5)