→ → →
▽T=(8x-3y+2yz)i+(-3x+2xz)j+(2xy)k (梯度)
→ → →
1. ▽T(3,4,5)=52i+21j+24k
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2.|▽T(3,4,5)|=√52^2 + 21^2 + 24^2 = 61
第3小題我不確定題意請高人再指點@@
※ 引述《Wei2008 (Wei)》之銘言：
: Over a certain space the temperature is given by T(x,y,z)=4x^2+3xy+2xyz
: 1. In which direction does the temperature change most rapidly
: at point P(3,4,5)?
: 2. What is the maximum rate of change at point P?
: 3. What is the rate of change at point P in the direction of vector
: 向量v = 向量i +向量j -向量k
: 謝謝~~~
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