A Shortcut for Finding Derivatives (4.1.1) Flashcards
1
Q
What is the shortcut that the power rule lets you do?
A
• Using the definition to find the derivative of a function is very time-consuming. However, when dealing with variables raised to rational powers, there is a shortcut you can use that makes finding derivatives easier. This shortcut is called the power rule.
2
Q
What does the power rule state?
A
• The power rule states that if N is a rational number, then the function f(x) = x^N is differentiable and f’(x) = Nx^(N-1).