Question: please clear steps with would be helpful thank you today you're on board the spaceship #369036865, and the captain is asking to solve tricky ZP
please clear steps with would be helpful thank you

today you're on board the spaceship #369036865, and the captain is asking to solve tricky "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order). The problem itself appears first to be simple: Find the directional derivative of the function f(z, y) = In(x + y') at the point (1, 1) in the direction of the vector (1, - 1) but !!! The challenge is that some of the Z-Planet laws are different. In particular, "power rule" on Earth, d r = na" , on Z planet is "twisted" as the following: d n dx -const = 0) , and d . the derivative of log function, -In(x) = , turns into "ZP" oddness: d dx In(x) = ez . all the other rules and laws have not been changed. So, find the directional derivative of the function f(r, y) = In(r + y ) at the point (1, 1) in the direction of the vector (1, - 1) for Z-Planet conditions: (when possible avoid "rounding issues", give your calculator a break, save your time reporting the answer in 42 229 an exact / NOT simplified completely/ format, like for fractions, or like e25 . 48 . 9 + 12 for 107 ' 125 V17 functions...)
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