document.pdf - Prepared by Dr Iskandar Shah Mohd Zawawi FSKM UiTM Shah Alam March July 2020 MAT538 APPLIED MATHEMATICS TUTORIAL 5 PARTIAL DERIVATIVES

document.pdf - Prepared by Dr Iskandar Shah Mohd Zawawi...

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Prepared by: Dr. Iskandar Shah Mohd Zawawi, FSKM, UiTM Shah Alam March - July 2020 1 MAT538 APPLIED MATHEMATICS TUTORIAL 5: PARTIAL DERIVATIVES Jun 2019 1. a) Find and sketch the domain for 2 , ln f x y x y . b) Find z x and z y if 2 2 sin 10 yz e xz xy y defines z implicitly as a function of x and y . c) Find all critical points of the function 3 3 2 2 , 3 3 8 f x y x y x y and classify each as relative maxima, relative minima or saddle point. Dec 2019 2. a) If , u f x y , x m p and y m p , show that 2 2 . u u u u m p x y . b) If cos cos x y z e y e x , find xx yy xy z z z . c) Find all critical points of the function 3 2 2 2 , 3 6 6 2 f x y x xy x y and classify each point as relative extrema or saddle points. June 2018 3. a) Evaluate
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