Let f (x) = 2x if x < 2

               = 2 if x = 2

         = x² if x > 2

the discontinuity of f (x) at x = 2 is known as

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The function 

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The maximum point on curve x = e^xy is

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If f(x, y) is such that fx = e^x cos y and fy = e^x sin y then which of following is true

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If f(x, y) = ln (x² + y²) then

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If z = x⁴ + 3xy - y² and y = sin x then dz/dx is

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A point P is moving along curve of intersection of paraboloid x² /16 - y²/9 = z and cylinder x2 + y2 = 5. If x is increasing at the rate of 5cm/s how fast is z changing when x = 2m and y = 1 cm ?