Make a guess about the prodcut rule for n functions that is

Solution

sol: suppose that, so By the chain rule, d/dx(f(3x))= 3 f\'(3x) = x^2 ==> f\'(3x) = (x^2)/3. Now, if we replace x by x/3, we get so, f\'(3 *x/3) = f\'(x) = d/dx f(x) = ((x/3)^2)/3 = (x^2)/27 answer