3. (a) Suppose temperature °F in a region of 3-space, measured in meters, is given by 100 3)2 + y² + (x + 2)² and a bug is a point (2, 1,-1), what temperature does the bug sense? (b) Suppose the bug then flies in the direction of (1,1, 1) (increasing all coordinates); use the directional derivative to say whether the temperature is increasing or decreasing in that direction and at what rate. (c) What if the bug flies in the opposite direction - (1, 1, 1)? T = 1+ (x -

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Q: Homework6: Topic 5 Numerical Differentiation 3.)

A: To find the first derivative of 𝑦 = 2𝑥4 − 6𝑥3 − 12𝑥 + 8 at x=0 using centered finite divided…

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A: Given:        y= x+12x2+1-3

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A: We can take logarithmic to solve it easily.