Find the directional derivative of the function at the given point in the direction of the vector v. h(r, s, t) = ln(3r + 6s + 9
t), (1, 1, 1), v = 14i + 42j + 21k
1 answer:
Answer:

Step-by-step explanation:
First, let’s check to see if the direction vector is a unit vector:

It’s not a unit vector. therefore let's divide the vector by its magnitude in order to convert it into a unit vector:

Now, the directional derivative is given by:

So let's calculate the partial derivates:



Therefore:

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