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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial y} (e^{x}) = 0

\frac{\partial}{\partial y} (y^{2}) = 2 y

= 0 + 2 y

Vereinfache

= 2 y

Beliebte Beispiele

derivative h(x)= 7/(x^2)

d er i v a t i v e h (x) = \frac{7}{x ^{2}}

inverselaplace ((s+1))/((s*(s^2+s+1)))

in v erse l a pl a ce \frac{( s + 1 )}{( s \cdot ( s ^{2} + s + 1 ) )}

sum from n=5 to infinity of 1/(2^{2n)}

n = 5 \sum \infty \frac{1}{2 ^{2 n}}

tangent f(x)=5-8x^2

t an g e n t f (x) = 5 - 8 x^{2}

(dy)/(dx)=7sqrt(xy)

\frac{d y}{d x} = 7 x y