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Beliebt Rechnen >

(\partial)/(\partial x)((1+x)sin(y))

Lösung

\frac{\partial}{\partial x} ((1 + x) sin (y))

Lösung

sin (y)

Schritte zur Lösung

\frac{\partial}{\partial x} ((1 + x) sin (y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= sin (y) \frac{\partial}{\partial x} (1 + x)

Wende die Summen-/Differenzregel an:

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

= sin (y) (\frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (x))

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (x) = 1

= sin (y) (0 + 1)

Vereinfache

= sin (y)

Beliebte Beispiele

derivative of ln(axsqrt(a+x))

\frac{d}{d x} (ln (a x a + x))

integral of 1/((x^2-49)^{3/2)}

\int \frac{1}{( x ^{2} - 49 ) ^{\frac{3}{2}}} d x

-y^'+(2y)/x =x^3y^2

- y^{^{'}} + \frac{2 y}{x} = x^{3} y^{2}

limit as t approaches 0 of 6/(1+t)

t \to 0 lim (\frac{6}{1 + t})

derivative f(x)=arcsin(x)

d er i v a t i v e f (x) = arcsin (x)