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Beliebt Rechnen >

(\partial)/(\partial x)(tan(x-y))

Lösung

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

Lösung

sec^{2} (x - y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= sec^{2} (x - y) \cdot 1

Vereinfache

= sec^{2} (x - y)

Beliebte Beispiele

integral of ln(1)

\int ln (1) d x

(x^3+e^y)dy=3x^2dx

(x^{3} + e^{y}) d y = 3 x^{2} d x

y^'+8y=xe^{-8x}

y^{^{'}} + 8 y = x e^{- 8 x}

derivative sqrt(64-x^2)

d er i v a t i v e 64 - x^{2}

limit as h approaches 0 of-1/(x(x+h))

h \to 0 lim (- \frac{1}{x ( x + h )})