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Beliebt Rechnen >

(\partial)/(\partial y)(e^{cos(x-2y)})

Lösung

\frac{\partial}{\partial y} (e^{c o s (x - 2 y)})

Lösung

e^{c o s (x - 2 y)} \cdot 2 sin (x - 2 y)

Schritte zur Lösung

\frac{\partial}{\partial y} (e^{c o s (x - 2 y)})

Behandle

x

als Konstante

Wende die Kettenregel an:

e^{c o s (x - 2 y)} \frac{\partial}{\partial y} (cos (x - 2 y))

= e^{c o s (x - 2 y)} \frac{\partial}{\partial y} (cos (x - 2 y))

\frac{\partial}{\partial y} (cos (x - 2 y)) = 2 sin (x - 2 y)

= e^{c o s (x - 2 y)} \cdot 2 sin (x - 2 y)

Beliebte Beispiele

derivative of ln(1-8x)

\frac{d}{d x} (ln (1 - 8 x))

derivative y=\sqrt[3]{x^2}

d er i v a t i v e y = 3 x^{2}

x(dy)/(dx)-y=3x^4

x \frac{d y}{d x} - y = 3 x^{4}

derivative of (-3x+1^3(2x-1)^4)

\frac{d}{d x} ((- 3 x + 1)^{3} (2 x - 1)^{4})

derivative of 1/((x^2+3x+2^3))

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