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.

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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).

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