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Given f(x, y, z)=x²-2y² +z², x(t)=sint, y(t)= e' and z(t) = 3t for 0≤t≤n. (i) (ii) (iii) Find the directional derivative
Posted: Tue Jul 12, 2022 12:45 pm
by answerhappygod
- Given F X Y Z X 2y Z X T Sint Y T E And Z T 3t For 0 T N I Ii Iii Find The Directional Derivative 1 (21.06 KiB) Viewed 49 times
Given f(x, y, z)=x²-2y² +z², x(t)=sint, y(t)= e' and z(t) = 3t for 0≤t≤n. (i) (ii) (iii) Find the directional derivative of f(x, y, z) at x = 1 in the direction of the vector b=2i+j-2k. Give your answer in terms of . [9 marks] df Find in terms of t. dt Determine the exact value of df dt when x = 1.