In each case, determine if the function can be differentiated using the rules developed so far (sections 3.1 and 3.2). (a) y = 2x2

The rule for differentiation for variable with exponents has the formula:

d/dx (xⁿ) = nxⁿ⁻¹
where n is the exponent

Thus, for the given equation, the solution is as follows:
y = 2x²
dy/dx = 2(2)x²⁻¹ = 4x

Thus, the derived equation of the given would now be 4x.