Find the derivative of the function at p 0 in the direction of a. f(x, y,z) = 3 e^x cos(yz), p0 (0, 0, 0), a = - i + 2 j + 3k

The derivative of at a point in the direction of a vector is

We have

and

Then the derivative at in the direction of is

i believe the correct answer is b.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363