Consider the following.3x + 3y = 8(a) find y' by implicit differentiation.(b) solve the equation explicitly for y and differentiate to get y' in terms of x.(c) check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a).y' =

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a.

Differentiate w.r.t x then we get

b.

Differentiate w.r.t x then we get

When we substituting the value of y obtained from part b into a solution of part a then we get

Hence, solutions are consistent.