Question

find implicit differentiation (1-2xy^3)^5=x+4y

Answer 1

5 (1-2xy^3)^4 [-6xy^2dy-2y^3dx]=dx +4dy
[1+10
dx[(1-2xy^3)^4 y^3] =-dy[4+30(1-2xy^3)^4 xy^2]

dy/dx = -(1-2xy^3)^4y^3]/ [4+30(1-2xy^3)^4 xy^2]

check carefully

Answer 2

find the 4th derivative of 1/2x+3