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Partial derivative at a point

EasyCalculus~3m

For f(x,y)=x2y+sin⁡yf(x,y)=x^2 y + \sin y, evaluate ∂f∂y\dfrac{\partial f}{\partial y} at the point (x,y)=(2,0)(x,y)=(2,0).

Show hints (2)+
  1. Treat $x$ as a constant when differentiating in $y$.
  2. Then plug in $(2,0)$.

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Asked at: Jane Street, IMC

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