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3 cards from this section. Quick, good the night before a test.
What is the derivative of f(x) = x²?
Use the Power Rule.
Using the Sum Rule, find the derivative of f(x) = 3x + 5.
Differentiate each term separately.
What does the derivative f'(x) represent?
Think about how f(x) is changing.
True or False: The Power Rule states that the derivative of xⁿ is nxⁿ⁻¹.
Calculate the derivative and identify the coefficients.
If the cost function is C(x) = 5x² + 4x + 50, find the marginal cost using differentiation.
Take the derivative with respect to x.
Given f(t) = 3t³ - 5t² + 2t, determine the points where local maxima and minima occur.
Don't forget to check for second derivatives!
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