Please show how to solve each the following, including any functions, theorems, rules, or tricks to solve faster.

. Find the first and second partial derivatives of the following functions. a) u= f(x,y) = x +5xy -y. b) u = f (x,y ) = (x -3y)(x-2). c) u = f(x,y) 2x - 3y x+y d) u = f(x,y) x' -1 xyFind the ist and 2nd derivatives of the following then use the inverse function rule to find the derivative of x=F-1 a) . y= f(x) =2(12x* -2)(4x+2). b) y=f(x) = (3x+11)(6x2 -5x). y= f (x) =x' (3x+5) . c) y = f (x) = (ax-b)ex'. d) . y = f (x) =(1-2x)(3+x)(x+1). e) . y = f(x) = (x+3)x. f) . y = f (x) = 2x- +6 2x g) y = f ( x ) = x+7 h) 3x2 4x-1 i) . y= f (x) = x - 8 j) . y = f( x) = ax +b ex + dv+ 2) -8 Given q = where v #0, find the following limits. V a) lim q (v) . b) lim q(v) . V-+2 c) limq (v) . 77 Given q (v) =14-_ where v #0, find the following limits. V a) lim q (v) . b) lim q (v)