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Beliebt Rechnen >

derivative of e^{x^2sin(x})

Lösung

\frac{d}{d x} (e^{x^{2} s i n (x)})

Lösung

e^{x^{2} s i n (x)} (2 x sin (x) + cos (x) x^{2})

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2} s i n (x)})

Wende die Kettenregel an:

e^{x^{2} s i n (x)} \frac{d}{d x} (x^{2} sin (x))

= e^{x^{2} s i n (x)} \frac{d}{d x} (x^{2} sin (x))

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

= e^{x^{2} s i n (x)} (2 x sin (x) + cos (x) x^{2})

Graph

Beliebte Beispiele

integral of a/(\sqrt[3]{x^2)}

\int \frac{a}{3 x ^{2}} d x

tangent f(x)=11-x^2

t an g e n t f (x) = 11 - x^{2}

laplacetransform 40

l a pl a ce t r an s f or m 40

limit as x approaches 4pi of e^{tan(x)}

x \to 4 π lim (e^{t a n (x)})

derivative of a^{5x}

\frac{d}{d x} (a^{5 x})