Find dy/dx for the following equation: f(x) = x^7 + 7x

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

Answered by Tola S. Maths tutor

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