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Beliebt Rechnen >

(\partial)/(\partial y)(e^{4xy})

Lösung

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

Lösung

e^{4 x y} \cdot 4 x

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

sum from n=0 to infinity of (e/(10))^n

n = 0 \sum \infty (\frac{e}{10})^{n}

tangent f(x)=x^2-1,\at x=-1

t an g e n t f (x) = x^{2} - 1, at x = - 1

inverselaplace 6/((s^2+9)^2)

in v erse l a pl a ce \frac{6}{( s ^{2} + 9 ) ^{2}}

derivative 6e^x+8/(\sqrt[3]{x)}

d er i v a t i v e 6 e^{x} + \frac{8}{3 x}

(dy)/(dx)+(7/x)y=x+2

\frac{d y}{d x} + (\frac{7}{x}) y = x + 2