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Beliebt Rechnen >

d/(dy)(sqrt(tan(x)+y))

Lösung

\frac{d}{d y} (tan (x) + y)

Lösung

\frac{1}{2 tan ( x ) + y}

Schritte zur Lösung

\frac{d}{d y} (tan (x) + y)

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 tan ( x ) + y} \frac{d}{d y} (tan (x) + y)

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

\frac{d}{d y} (tan (x) + y) = 1

= \frac{1}{2 tan ( x ) + y} \cdot 1

Vereinfache

= \frac{1}{2 tan ( x ) + y}

Beliebte Beispiele

derivative of x^{(-1/2})

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

inverselaplace 1/((s-4))

in v erse l a pl a ce \frac{1}{( s - 4 )}

(\partial)/(\partial y)(x^2yz+1/(xyz^2))

\frac{\partial}{\partial y} (x^{2} yz + \frac{1}{x y z ^{2}})

(dy)/(dx)=5y^2,y(0)=3

\frac{d y}{d x} = 5 y^{2}, y (0) = 3

tangent f(x)=x^3-15x,(1,-14)

t an g e n t f (x) = x^{3} - 15 x, (1, - 14)