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Please help me solve this problems and show all steps. Thank you B Brock Sakai : 2P30 2020 Winter X B assignment3.pdf X + X

Please help me solve this problems and show all steps. Thank you

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B Brock Sakai : 2P30 2020 Winter X B assignment3.pdf X + X G Ims.brocku.ca/access/content/group/a0d19442-cbc9-408a-a476-85109eb7efdf/Assignments/assignment3.pdf . .. 1. Find the first derivative of the following functions: (a) f(x) = x2 - (x3 - Inx)2 (b) f(x) = xInx -22 (c) f(x) = +2x Inc (1 +2x)2 (d) f(x) = V1+ 2x (e) f(x) = - 2. Are the following functions homogeneous? If so, to what degree? For functions which are homogeneous, verify that their derivatives are homogeneous of degree k - 1. Also, verify that Euler's Theorem holds. (a) f(x) = x2 -423 (b) f(x) = Vx (c) f(x) = 2-22 (d) f(x) = 4x4 3. For each of the following functions, (i) Determine the domain, (ii) Find their first derivatives, (iii) Find their second derivatives, (iv) Determine whether they are globally concave? Why or why not? (a) f(x) = 4x2 - 23 (b) f(x) = In(z2 -2) (c) f(x) = e

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