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Beliebt Rechnen >

(\partial)/(\partial x)(ln(xcos(y)))

Lösung

\frac{\partial}{\partial x} (ln (x cos (y)))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (x cos (y)))

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{x cos ( y )} \frac{\partial}{\partial x} (x cos (y))

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

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

= \frac{1}{x cos ( y )} cos (y)

Vereinfache

\frac{1}{x cos ( y )} cos (y) : \frac{1}{x}

= \frac{1}{x}

Beliebte Beispiele

derivative 5/(\sqrt[5]{t)}+5t

d er i v a t i v e \frac{5}{5 t} + 5 t

derivative of (x^3)

\frac{d}{d x} ((x)^{3})

integral from 1 to 2 of 8r^4ln(r)

\int_{1}^{2} 8 r^{4} ln (r) d r

y^{'''}+y^{''}-2=0

y^{^{'''}} + y^{^{''}} - 2 = 0

integral of (x^2+2x+2)/(x+1)

\int \frac{x ^{2} + 2 x + 2}{x + 1} d x