Partial derivative of x4 – x2y2 + y4 w.r.t. y at point (-1,1). a

1.	Partial derivative of x4 – x2y2 + y4 w.r.t. y at point (-1,1). a) -2 b) 2 c) -1 d) 1
Answer» Let f(x , y) = x⁴ - x²y² + y⁴ \(\frac{\partial f}{\partial y}\)= -2x² + 4y³ \(\frac{\partial f}{\partial y}(-1, 1)\)= -2(-1)² x 1 + 4 x 1³ = -2 + 4 = 2

Partial derivative of x4 – x2y2 + y4 w.r.t. y at point (-1,1). a) -2 b) 2 c) -1 d) 1

Answer»

Let f(x , y) = x⁴ - x²y² + y⁴

\(\frac{\partial f}{\partial y}\)= -2x² + 4y³

\(\frac{\partial f}{\partial y}(-1, 1)\)= -2(-1)² x 1 + 4 x 1³

= -2 + 4 = 2

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Partial derivative of x4 – x2y2 + y4 w.r.t. y at point (-1,1). a) -2 b) 2 c) -1 d) 1

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