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Beliebt Rechnen >

(\partial)/(\partial x)(e^{2x^2-4y^2})

Lösung

\frac{\partial}{\partial x} (e^{2 x^{2} - 4 y^{2}})

Lösung

e^{2 x^{2} - 4 y^{2}} \cdot 4 x

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{2 x^{2} - 4 y^{2}})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{2 x^{2} - 4 y^{2}} \frac{\partial}{\partial x} (2 x^{2} - 4 y^{2})

= e^{2 x^{2} - 4 y^{2}} \frac{\partial}{\partial x} (2 x^{2} - 4 y^{2})

\frac{\partial}{\partial x} (2 x^{2} - 4 y^{2}) = 4 x

= e^{2 x^{2} - 4 y^{2}} \cdot 4 x

Beliebte Beispiele

tangent 5/(1+x^2)

t an g e n t \frac{5}{1 + x ^{2}}

d/(dt)((sin(t))/(sqrt(1+t^2)))

\frac{d}{d t} (\frac{sin ( t )}{1 + t ^{2}})

integral of (2x+5)(x+1)^{1/2}

\int (2 x + 5) (x + 1)^{\frac{1}{2}} d x

taylor e^{-2x}sin(x),0

t a y l or e^{- 2 x} sin (x), 0

integral of (5x^2+5x+3)/(x(x+1)^2)

\int \frac{5 x ^{2} + 5 x + 3}{x ( x + 1 ) ^{2}} d x