solve and show work please

For #'s 1-3, 3! = f(x). Find the derivative, but dont' solve for y 1) 1(5.163 +3.};2 + m) 2) i - tan(3y2) dx dx (where 111 is not a function of x) 3) inn y2 + 3x) dx For each problem, use implicit differentiation to nd y in terms of x and y. {solve for y) (b: 4) 5x2 =4y3 + 4 5) 4 = 3x2 3y3 6) y2 = 3x2 + 3y3 7) 4),:3 + 3y2 =4x2 8) 2y2 + xzy = 3x2 9) 4x = 2 yz + 3xy3 10) 4x+2=cot2y2 11) sin 3y3=4x+4 12) e5\" = 3x2 + 5 13) 1n )9 = 4x2 + 4 14) Given: g3 5m2 2 8 a. Find the derivative of the function above with respect to g provided that in is a function of g. That is n1 = n1{g). (hint: replace 111 with 1n(g) and nd m '(g). Don't forget the chain rule.) b. Find the derivative of the function above with respect to 1n provided that g is a lnction of m. That is g = g(rn). Hint: Replace g with , then find Don't forget the chain rule)