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Beliebt Rechnen >

(\partial)/(\partial y)(3tan(xy))

Lösung

\frac{\partial}{\partial y} (3 tan (x y))

Lösung

3 sec^{2} (x y) x

Schritte zur Lösung

\frac{\partial}{\partial y} (3 tan (x y))

Behandle

x

als Konstante

Entferne die Konstante:

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

= 3 \frac{\partial}{\partial y} (tan (x y))

Wende die Kettenregel an:

sec^{2} (x y) \frac{\partial}{\partial y} (x y)

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

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

= 3 sec^{2} (x y) x

Beliebte Beispiele

(dy)/(dx)=3(y^2+1)

\frac{d y}{d x} = 3 (y^{2} + 1)

(\partial)/(\partial x)(2xye^{xy^2})

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

tangent f(x)=tan(x),(pi/4 ,1)

t an g e n t f (x) = tan (x), (\frac{π}{4}, 1)

integral of 4/(sqrt(x^2+2x+5))

\int \frac{4}{x ^{2} + 2 x + 5} d x

y(1+x^2)y^'-x(8+y^2)=0

y (1 + x^{2}) y^{^{'}} - x (8 + y^{2}) = 0