Answer the following with reference to the derivative of a function.
a. (i) State what the symbols f′(x) and dxdy represent when y=f(x). Clearly mention the independent and dependent variables involved.
b. (ii) For y=f(x)=x3, write the derivative at x=2 in both Lagrange and Leibniz notations.
c. (iii) Express, in words, the meaning of the value obtained in part (ii).