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Let ?(?, ?) = 1/4 ln(2?^2 + 2?^2 + 2) + ? + ? be a...

Let ?(?, ?) = 1/4 ln(2?^2 + 2?^2 + 2) + ? + ? be a function giving the temperature in degrees Celsius at any point in the plane. Assume ? and ? are measured in ??. Suppose a bug is walking on the plane and its position vector at time ? is given by ?(?) = 2 cos ( ??/2 ) ? + 3 sin ( ??/2 ) ? (assume ? is measured in seconds). At time ? = 13/3 seconds, what is the rate of change of temperature with respect to time experienced by the bug?

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