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Beliebt Rechnen >

(d^2)/(dx^2)(e^{7x^2})

Lösung

\frac{d ^{2}}{d x ^{2}} (e^{7 x^{2}})

Lösung

14 (14 e^{7 x^{2}} x^{2} + e^{7 x^{2}})

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (e^{7 x^{2}})

\frac{d}{d x} (e^{7 x^{2}}) = e^{7 x^{2}} \cdot 14 x

= \frac{d}{d x} (e^{7 x^{2}} \cdot 14 x)

\frac{d}{d x} (e^{7 x^{2}} \cdot 14 x) = 14 (14 e^{7 x^{2}} x^{2} + e^{7 x^{2}})

= 14 (14 e^{7 x^{2}} x^{2} + e^{7 x^{2}})

Beliebte Beispiele

derivative of cos(3)

\frac{d}{d x} (cos (3))

(\partial)/(\partial x)(e^{-9x})

\frac{\partial}{\partial x} (e^{- 9 x})

derivative of-10

\frac{d}{d x} (- 10)

y^{''}+9y=sin(3x)

y^{^{''}} + 9 y = sin (3 x)

limit as (x,y) approaches (5,-2) of x^5+4x^3y-5xy^2

(x, y) \to (5, - 2) lim (x^{5} + 4 x^{3} y - 5 x y^{2})