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Beliebt Rechnen >

(\partial)/(\partial x)(tan(4xy^5))

Lösung

\frac{\partial}{\partial x} (tan (4 x y^{5}))

Lösung

sec^{2} (4 x y^{5}) \cdot 4 y^{5}

Schritte zur Lösung

\frac{\partial}{\partial x} (tan (4 x y^{5}))

Behandle

y

als Konstante

Wende die Kettenregel an:

sec^{2} (4 x y^{5}) \frac{\partial}{\partial x} (4 x y^{5})

= sec^{2} (4 x y^{5}) \frac{\partial}{\partial x} (4 x y^{5})

\frac{\partial}{\partial x} (4 x y^{5}) = 4 y^{5}

= sec^{2} (4 x y^{5}) \cdot 4 y^{5}

Beliebte Beispiele

derivative of (2x^2+x-1/(x^2-1))

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

fläche x^2-2x+3,x=-2,x=1

a re a x^{2} - 2 x + 3, x = - 2, x = 1

derivative of (2x^2-6^{-10})

\frac{d}{d x} ((2 x^{2} - 6)^{- 10})

y^{''}-8y^'+16y=t-2e^{4t}

y^{^{''}} - 8 y^{^{'}} + 16 y = t - 2 e^{4 t}

integral of (x^3-1)^2

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