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4 cards from this section. Quick, good the night before a test.
Find the derivative of the function f(x) = 7.
Remember that constant functions have a derivative of zero.
What is the derivative of f(x) = 4x?
Use the constant multiple rule.
What is the derivative of a constant function?
Think about how much a constant function changes value.
What is the power rule for differentiation?
Remember how to bring down the exponent and decrease it by one.
Differentiate the function f(x) = 4x^3 - 7x^2 + 3x and determine the slope of the tangent at x = 2.
Use the power rule correctly and remember to substitute after differentiating.
Explain how you would find the derivative of a piecewise function defined as: f(x) = { x^2 for x < 1, 2x for x ≥ 1.} What do you expect the derivative to be at x = 1?
Check the definitions of each piece at the boundary.
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