Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can differentiate the known velocity. The general formula for differentiation is:
f(x) = axn --> f'(x) = nax(n-1)
Where f(x) is the original equation and f'(x) is the differential. Therefore to complete the question,
f'(x) = 7x6 + 7