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2 cards from this section. Quick, good the night before a test.
Calculate the derivative of f(x) = 2x^3.
Use the power rule.
What is the derivative of f(x) = 7 when x is constant?
Remember the constant rule.
What is the derivative of a constant function?
Think about how a non-changing quantity behaves.
True or false: The derivative measures the slope of the tangent line.
Recall what the derivative represents.
Derive the function f(x) = 3x^3 - 4x^2 + 6 at the point x = 2. What is the equation of the tangent line at this point?
Find the derivative and use point-slope form.
Using the limit definition, find the derivative of f(x) = sqrt(x) at x = 4.
Make sure to rationalize the numerator when applying the limit.
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