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Beliebt Rechnen >

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

Lösung

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

Lösung

8 e^{4 x y} y

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (4 x y) = 4 y

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

Vereinfache

= 8 e^{4 x y} y

Beliebte Beispiele

(\partial)/(\partial x)(ln((x^2+y^2)^2))

\frac{\partial}{\partial x} (ln ((x^{2} + y^{2})^{2}))

derivative (30)/((1-x)^4)

d er i v a t i v e \frac{30}{( 1 - x ) ^{4}}

tangent f(x)=x^2-x,\at x=-2

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

integral of 3/(5x-1)

\int \frac{3}{5 x - 1} d x

integral of (x^2-7x+4)

\int (x^{2} - 7 x + 4) d x