a. Given f(x, y, z)=x²-2y² +2², x(t)= sint, y(t)=e¹ and =(t)=3t for OSIST. (i) (ii) (iii) Find the directional derivativ
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a. Given f(x, y, z)=x²-2y² +2², x(t)= sint, y(t)=e¹ and =(t)=3t for OSIST. (i) (ii) (iii) Find the directional derivativ
a. Given f(x, y, z)=x²-2y² +2², x(t)= sint, y(t)=e¹ and =(t)=3t for OSIST. (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] Find df in terms of 1. Determine the exact value of df dt when x = 1. [4 marks] [2 marks]
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